Pith Number

pith:2XJLHPVB

pith:2015:2XJLHPVBW6WODK2X5VW4CC3SJH

not attested not anchored not stored refs pending

Coarse Ricci curvature as a function on $M\times M$

Antonio Ache, Micah Warren

arxiv:1505.04166 v1 · 2015-05-15 · 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{2XJLHPVBW6WODK2X5VW4CC3SJH}

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	2026-05-18T02:09:39.868108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5d2b3bea1b7ace1ab57ed6dc10b7249c9adb5ed0153dff6d5a33cad767b1626

Aliases

arxiv: 1505.04166 · arxiv_version: 1505.04166v1 · doi: 10.48550/arxiv.1505.04166 · pith_short_12: 2XJLHPVBW6WO · pith_short_16: 2XJLHPVBW6WODK2X · pith_short_8: 2XJLHPVB

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/2XJLHPVBW6WODK2X5VW4CC3SJH \
  | 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: d5d2b3bea1b7ace1ab57ed6dc10b7249c9adb5ed0153dff6d5a33cad767b1626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "306b0631c314d2df7b86521aa491ff5d12f29c91910af8595bd382decd86bba9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-15T19:11:37Z",
    "title_canon_sha256": "82712e6975a5b1b64f344674f55a2f449bdb4c75a5f32263c3fd93da0967b157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04166",
    "kind": "arxiv",
    "version": 1
  }
}