Pith Number

pith:KYKYD5F2

pith:2012:KYKYD5F2X47AEAKJ2GSE77GMSM

not attested not anchored not stored refs pending

Distance comparison principle and Grayson type theorem in the three dimensional curve shortening flow

Siming He

arxiv:1209.5146 v1 · 2012-09-24 · 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{KYKYD5F2X47AEAKJ2GSE77GMSM}

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	2026-05-18T03:44:59.075627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

561581f4babf3e020149d1a44ffccc933a60ddfd87bfa4ee73922d4afe437165

Aliases

arxiv: 1209.5146 · arxiv_version: 1209.5146v1 · doi: 10.48550/arxiv.1209.5146 · pith_short_12: KYKYD5F2X47A · pith_short_16: KYKYD5F2X47AEAKJ · pith_short_8: KYKYD5F2

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/KYKYD5F2X47AEAKJ2GSE77GMSM \
  | 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: 561581f4babf3e020149d1a44ffccc933a60ddfd87bfa4ee73922d4afe437165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08ab466bbee48b6356fd0f09324a3b4aad280a687c8c858edd2e7a1463abc5c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-24T04:09:18Z",
    "title_canon_sha256": "5f3d835e4ac56043e25750f86f97236b863905429c0d75f93002ea4f19190975"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5146",
    "kind": "arxiv",
    "version": 1
  }
}