Pith Number

pith:4I5U5ZAW

pith:2015:4I5U5ZAWIN6TWTY32RF7MN2DBL

not attested not anchored not stored refs pending

Remarks on curvature dimension conditions on graphs

Florentin M\"unch

arxiv:1501.05839 v1 · 2015-01-23 · 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{4I5U5ZAWIN6TWTY32RF7MN2DBL}

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	2026-05-18T02:28:48.850769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e23b4ee416437d3b4f1bd44bf637430ac9795fa08d188c239b4bbf37da92bf8d

Aliases

arxiv: 1501.05839 · arxiv_version: 1501.05839v1 · doi: 10.48550/arxiv.1501.05839 · pith_short_12: 4I5U5ZAWIN6T · pith_short_16: 4I5U5ZAWIN6TWTY3 · pith_short_8: 4I5U5ZAW

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/4I5U5ZAWIN6TWTY32RF7MN2DBL \
  | 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: e23b4ee416437d3b4f1bd44bf637430ac9795fa08d188c239b4bbf37da92bf8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd0060f3e93a421c64105d080c4f2ff92e1f8bb429b74a8aba8ae9f1141b06d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-01-23T15:50:02Z",
    "title_canon_sha256": "f905fc6cb48981e9f97634a68e6121d5937e8152fc971b556d3d6b0e895348cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05839",
    "kind": "arxiv",
    "version": 1
  }
}