Pith Number

pith:IH3IB5PF

pith:2021:IH3IB5PFWLEKBM3O6YAADS2Q2X

not attested not anchored not stored refs pending

Collapsing and noncollapsing in convex ancient mean curvature flow

Mat Langford, Stephen Lynch, Theodora Bourni

arxiv:2106.06339 v2 · 2021-06-11 · 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{IH3IB5PFWLEKBM3O6YAADS2Q2X}

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	2026-07-05T04:02:39.056003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41f680f5e5b2c8a0b36ef60001cb50d5d68748cc6749bea6e61ef7331674eb0f

Aliases

arxiv: 2106.06339 · arxiv_version: 2106.06339v2 · doi: 10.48550/arxiv.2106.06339 · pith_short_12: IH3IB5PFWLEK · pith_short_16: IH3IB5PFWLEKBM3O · pith_short_8: IH3IB5PF

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/IH3IB5PFWLEKBM3O6YAADS2Q2X \
  | 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: 41f680f5e5b2c8a0b36ef60001cb50d5d68748cc6749bea6e61ef7331674eb0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72a4d69edae30421480cd0f32f043b259132d9f143b02ab98b96211ebaa827a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-06-11T12:21:47Z",
    "title_canon_sha256": "202d79617ea1c39b1b614958ba6751125a5a70ce7b3daf69f36fdc6e02418a69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.06339",
    "kind": "arxiv",
    "version": 2
  }
}