Pith Number

pith:5AHIGELI

pith:2014:5AHIGELI27KGP4BZDXEFKHGLAX

not attested not anchored not stored refs pending

Cut locus and heat kernel at Grushin points of 2 dimensional almost Riemannian metrics

Gr\'egoire Charlot (IF)

arxiv:1408.2120 v1 · 2014-08-09 · math.OC · 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{5AHIGELI27KGP4BZDXEFKHGLAX}

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	2026-05-18T02:45:30.308330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e80e831168d7d467f0391dc8551ccb05ff8be15a47c46758f246772d72d285ba

Aliases

arxiv: 1408.2120 · arxiv_version: 1408.2120v1 · doi: 10.48550/arxiv.1408.2120 · pith_short_12: 5AHIGELI27KG · pith_short_16: 5AHIGELI27KGP4BZ · pith_short_8: 5AHIGELI

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/5AHIGELI27KGP4BZDXEFKHGLAX \
  | 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: e80e831168d7d467f0391dc8551ccb05ff8be15a47c46758f246772d72d285ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2abaf1cf141e7225eb05cc8d8397a32f764f5af4afdf2fcd6a21e86d1b69e7a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-08-09T14:48:33Z",
    "title_canon_sha256": "e6f504f01535386eb48005d133f9a85981b4c7bcd728f9e483830d41c1f790c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2120",
    "kind": "arxiv",
    "version": 1
  }
}