Pith Number

pith:AS5KVL2W

pith:2021:AS5KVL2WCE2YY6M4GE4BK66EW4

not attested not anchored not stored refs pending

Uniqueness of entire graphs evolving by Mean Curvature flow

Mariel Saez, Panagiota Daskalopoulos

arxiv:2110.12026 v3 · 2021-10-22 · 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{AS5KVL2WCE2YY6M4GE4BK66EW4}

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	2026-07-05T04:12:02.890271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04baaaaf5611358c799c3138157bc4b737aa1735c51be3e9d2761e48372107dc

Aliases

arxiv: 2110.12026 · arxiv_version: 2110.12026v3 · doi: 10.48550/arxiv.2110.12026 · pith_short_12: AS5KVL2WCE2Y · pith_short_16: AS5KVL2WCE2YY6M4 · pith_short_8: AS5KVL2W

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/AS5KVL2WCE2YY6M4GE4BK66EW4 \
  | 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: 04baaaaf5611358c799c3138157bc4b737aa1735c51be3e9d2761e48372107dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e866b54527b7e36a6fa816e7ac3884cff102abebab4dcfa5bc33c42a01a96e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-10-22T19:25:19Z",
    "title_canon_sha256": "aa028d1f59a61ec1bf8c75b7da1adce793f8795c361be3ab8ded3ff7e86209be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.12026",
    "kind": "arxiv",
    "version": 3
  }
}