Pith Number

pith:POTSLJ2K

pith:2015:POTSLJ2K54MYGS5ELFKS5HXPQ3

not attested not anchored not stored refs pending

Heat flow in Riemannian manifolds with non-negative Ricci curvature

Michiel van den Berg

arxiv:1506.07063 v3 · 2015-06-23 · 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{POTSLJ2K54MYGS5ELFKS5HXPQ3}

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	2026-05-18T00:24:45.546371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ba725a74aef19834ba459552e9eef86fba8623c167c717bbe2d4f4f15fa1bd1

Aliases

arxiv: 1506.07063 · arxiv_version: 1506.07063v3 · doi: 10.48550/arxiv.1506.07063 · pith_short_12: POTSLJ2K54MY · pith_short_16: POTSLJ2K54MYGS5E · pith_short_8: POTSLJ2K

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/POTSLJ2K54MYGS5ELFKS5HXPQ3 \
  | 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: 7ba725a74aef19834ba459552e9eef86fba8623c167c717bbe2d4f4f15fa1bd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67e4ca358f89ceb14681bb1a6256356243d15f0717f9c9c36a3e85242b6f8033",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-23T15:58:21Z",
    "title_canon_sha256": "53cec254cf96714eb348da02c94c96b1b57836eabac1672174052c0c964bb9bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07063",
    "kind": "arxiv",
    "version": 3
  }
}