Pith Number

pith:D6725SFN

pith:2014:D6725SFNDQKOBIEMJDVWLFFO5L

not attested not anchored not stored refs pending

A remark on the gradient map

Alessandro Ghigi, Leonardo Biliotti, Peter Heinzner

arxiv:1402.1785 v1 · 2014-02-07 · math.CV · 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{D6725SFNDQKOBIEMJDVWLFFO5L}

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	2026-05-18T02:59:33.588750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fbfaec8ad1c14e0a08c48eb6594aeeaef40373bd4de0d7dd1869c2a75e5d59d

Aliases

arxiv: 1402.1785 · arxiv_version: 1402.1785v1 · doi: 10.48550/arxiv.1402.1785 · pith_short_12: D6725SFNDQKO · pith_short_16: D6725SFNDQKOBIEM · pith_short_8: D6725SFN

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/D6725SFNDQKOBIEMJDVWLFFO5L \
  | 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: 1fbfaec8ad1c14e0a08c48eb6594aeeaef40373bd4de0d7dd1869c2a75e5d59d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "533dea17620c22f7d69a0a76f0cbfc8c3d91bdd50cfbb648f27f5ef54e5dc2e4",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-02-07T22:18:08Z",
    "title_canon_sha256": "eb7992802e5482ec573dd9deba1e4cfc7d82d7dd64d77bd5e0d98499e1d6df58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1785",
    "kind": "arxiv",
    "version": 1
  }
}