Pith Number

pith:UHDNUJWJ

pith:2019:UHDNUJWJZ32IZVMELS2T2W7Z3U

not attested not anchored not stored refs pending

Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$

Ao Sun, Douglas Stryker

arxiv:1909.02535 v2 · 2019-09-05 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHDNUJWJZ32IZVMELS2T2W7Z3U}

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	2026-07-05T03:25:28.056929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1c6da26c9cef48cd5845cb53d5bf9dd0005c04545a01c91c66e26166a14f400

Aliases

arxiv: 1909.02535 · arxiv_version: 1909.02535v2 · doi: 10.48550/arxiv.1909.02535 · pith_short_12: UHDNUJWJZ32I · pith_short_16: UHDNUJWJZ32IZVME · pith_short_8: UHDNUJWJ

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/UHDNUJWJZ32IZVMELS2T2W7Z3U \
  | 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: a1c6da26c9cef48cd5845cb53d5bf9dd0005c04545a01c91c66e26166a14f400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "274464c1666da1f10d9d2f66cbfbff71b780a336944e52b1e107f40c21592963",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-09-05T17:17:58Z",
    "title_canon_sha256": "490157dbf75732e864a3e096e5c6fee983134a394a172f1e1eeeb3716786635d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02535",
    "kind": "arxiv",
    "version": 2
  }
}