Pith Number

pith:YKGQCCLZ

pith:2013:YKGQCCLZUDL37H374PTOQJBIUL

not attested not anchored not stored refs pending

Singularities of mean curvature flow and isoperimetric inequalities in H^3

Kui Wang

arxiv:1307.0423 v2 · 2013-07-01 · 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{YKGQCCLZUDL37H374PTOQJBIUL}

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	2026-05-18T03:19:23.996206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c28d010979a0d7bf9f7fe3e6e82428a2dc397b7058689156bd1ccc0582baac82

Aliases

arxiv: 1307.0423 · arxiv_version: 1307.0423v2 · doi: 10.48550/arxiv.1307.0423 · pith_short_12: YKGQCCLZUDL3 · pith_short_16: YKGQCCLZUDL37H37 · pith_short_8: YKGQCCLZ

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/YKGQCCLZUDL37H374PTOQJBIUL \
  | 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: c28d010979a0d7bf9f7fe3e6e82428a2dc397b7058689156bd1ccc0582baac82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca5ffd9f993dc8849de8b9962f3d4000a0cd2e2a837f40dda43db31a1e0a6f33",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-01T16:14:39Z",
    "title_canon_sha256": "feb879fcdc2d8c8a553eed3549cb485d8408ef5c48b14ecc640d978b89e4fab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0423",
    "kind": "arxiv",
    "version": 2
  }
}