Pith Number

pith:SIWAWO6C

pith:2025:SIWAWO6CZTPKQFVSSQLTNCZLN6

not attested not anchored not stored refs pending

Gradient estimates for scalar curvature

Tobias Holck Colding, William P. Minicozzi II

arxiv:2501.17947 v1 · 2025-01-29 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SIWAWO6CZTPKQFVSSQLTNCZLN6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Nonnegative Ricci Curvature and Uniformly Convex Boundary Forces Compactness

Topology of 3-manifolds with nonnegative scalar curvature and positive harmonic functions

Receipt and verification

First computed	2026-07-05T10:07:04.614341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

922c0b3bc2ccdea816b29417368b2b6fb266eda291ae31d78560709f90ff8461

Aliases

arxiv: 2501.17947 · arxiv_version: 2501.17947v1 · doi: 10.48550/arxiv.2501.17947 · pith_short_12: SIWAWO6CZTPK · pith_short_16: SIWAWO6CZTPKQFVS · pith_short_8: SIWAWO6C

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SIWAWO6CZTPKQFVSSQLTNCZLN6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 922c0b3bc2ccdea816b29417368b2b6fb266eda291ae31d78560709f90ff8461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62ab573b50b58c6a2c6c074e9ff02ef9cb998eec05731969fd51b1838f64992c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-01-29T19:09:55Z",
    "title_canon_sha256": "f35e924624d8011e4f981dbe0fdcbab8a3d14701e31262303c68af363ea3feb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.17947",
    "kind": "arxiv",
    "version": 1
  }
}