Pith Number

pith:UWQUPDZ6

pith:2011:UWQUPDZ6TYAMRXM5KAJIR3EWOY

not attested not anchored not stored refs pending

Subsequent Singularities in Mean-Convex Mean Curvature Flow

Brian White

arxiv:1103.1469 v3 · 2011-03-08 · 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{UWQUPDZ6TYAMRXM5KAJIR3EWOY}

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	2026-05-18T01:20:22.581366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5a1478f3e9e00c8dd9d501288ec967622e9b4653adf25c7adec59b53e3de2a4

Aliases

arxiv: 1103.1469 · arxiv_version: 1103.1469v3 · doi: 10.48550/arxiv.1103.1469 · pith_short_12: UWQUPDZ6TYAM · pith_short_16: UWQUPDZ6TYAMRXM5 · pith_short_8: UWQUPDZ6

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/UWQUPDZ6TYAMRXM5KAJIR3EWOY \
  | 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: a5a1478f3e9e00c8dd9d501288ec967622e9b4653adf25c7adec59b53e3de2a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be7d6b2c68c140ed01542f33e354f3f28f204d6b23065548013350606666ff49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-08T09:12:41Z",
    "title_canon_sha256": "ee28bd9cf9a1421e92f7bd94592f88997c2760942a82fd4c1c5c84899dfd46bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1469",
    "kind": "arxiv",
    "version": 3
  }
}