Pith Number

pith:GAFFOAAT

pith:2015:GAFFOAAT7GAK65YWB7CAKABWI4

not attested not anchored not stored refs pending

Smoothing out positively curved metric cones by Ricci expanders

Alix Deruelle

arxiv:1502.07921 v1 · 2015-02-27 · 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{GAFFOAAT7GAK65YWB7CAKABWI4}

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	2026-05-18T02:26:01.820195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

300a570013f980af77160fc40500364739892f3b233150746a0752c1e624ab93

Aliases

arxiv: 1502.07921 · arxiv_version: 1502.07921v1 · doi: 10.48550/arxiv.1502.07921 · pith_short_12: GAFFOAAT7GAK · pith_short_16: GAFFOAAT7GAK65YW · pith_short_8: GAFFOAAT

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/GAFFOAAT7GAK65YWB7CAKABWI4 \
  | 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: 300a570013f980af77160fc40500364739892f3b233150746a0752c1e624ab93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f143ca86841720d616e6977fe9cce2435af59b5a7b2c4f1b45fc7b8b1fd4c3b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-27T15:00:38Z",
    "title_canon_sha256": "6ff178fdd67d72f7a0aecf59eeb27589d821bec7cc95fadfd227faf7a58a4c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07921",
    "kind": "arxiv",
    "version": 1
  }
}