Pith Number

pith:M4G7CWHC

pith:2012:M4G7CWHCTAOW2QEZG6MU62RPBF

not attested not anchored not stored refs pending

A New Monotone Quantity along the Inverse Mean Curvature Flow in $\mathbb R^n$

Kwok-Kun Kwong, Pengzi Miao

arxiv:1212.1906 v1 · 2012-12-09 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4G7CWHCTAOW2QEZG6MU62RPBF}

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.

Receipt and verification

First computed	2026-05-18T01:22:25.892808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670df158e2981d6d409937994f6a2f097bd36f771ca58f2ac24eea4052ffbb1b

Aliases

arxiv: 1212.1906 · arxiv_version: 1212.1906v1 · doi: 10.48550/arxiv.1212.1906 · pith_short_12: M4G7CWHCTAOW · pith_short_16: M4G7CWHCTAOW2QEZ · pith_short_8: M4G7CWHC

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/M4G7CWHCTAOW2QEZG6MU62RPBF \
  | 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: 670df158e2981d6d409937994f6a2f097bd36f771ca58f2ac24eea4052ffbb1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "840bc8c1de4fea5a75e77eb69454055437fa2803beb0e74feb875359ca073e1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-09T17:53:28Z",
    "title_canon_sha256": "9e3d05177cacbaa4aa788b1143157e429a5755ce27026ad66fe4f8ddf52b5440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1906",
    "kind": "arxiv",
    "version": 1
  }
}