Pith Number

pith:FHIDJ5BZ

pith:2016:FHIDJ5BZB2IP37D5N5GKDVOK7M

not attested not anchored not stored refs pending

Type I singularities in the curve shortening flow associated to a density

Francisco Vi\~nado-Lereu, Vicente Miquel

arxiv:1607.08402 v1 · 2016-07-28 · 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{FHIDJ5BZB2IP37D5N5GKDVOK7M}

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	2026-05-18T01:10:19.214243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29d034f4390e90fdfc7d6f4ca1d5cafb19e5afe45bb3e9482bb54e98407d865d

Aliases

arxiv: 1607.08402 · arxiv_version: 1607.08402v1 · doi: 10.48550/arxiv.1607.08402 · pith_short_12: FHIDJ5BZB2IP · pith_short_16: FHIDJ5BZB2IP37D5 · pith_short_8: FHIDJ5BZ

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/FHIDJ5BZB2IP37D5N5GKDVOK7M \
  | 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: 29d034f4390e90fdfc7d6f4ca1d5cafb19e5afe45bb3e9482bb54e98407d865d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5013b17f6f1d6db7ce8bd97745a54d12af95ada9f20e701df95ade08264c8cfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-28T11:10:01Z",
    "title_canon_sha256": "48024d6ee00916a8efcb55246d5d0cb92fd35052f7f2fe90210b518efdf042aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08402",
    "kind": "arxiv",
    "version": 1
  }
}