Pith Number

pith:CVMDDAVB

pith:2010:CVMDDAVBTACRKNLCZQ7YE4EDKW

not attested not anchored not stored refs pending

Sharp Lower Bounds on Density of Area-Minimizing Cones

Brian White, Tom Ilmanen

arxiv:1010.5068 v2 · 2010-10-25 · 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{CVMDDAVBTACRKNLCZQ7YE4EDKW}

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	2026-05-18T01:20:22.625613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15583182a19805153562cc3f8270835591fa253161813dfd00c6ccfc700b7ca5

Aliases

arxiv: 1010.5068 · arxiv_version: 1010.5068v2 · doi: 10.48550/arxiv.1010.5068 · pith_short_12: CVMDDAVBTACR · pith_short_16: CVMDDAVBTACRKNLC · pith_short_8: CVMDDAVB

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/CVMDDAVBTACRKNLCZQ7YE4EDKW \
  | 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: 15583182a19805153562cc3f8270835591fa253161813dfd00c6ccfc700b7ca5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5382d236e04bd186b40c4432a003c4518ce1bbd0e6aa6e541323b6e40636d2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-25T09:42:28Z",
    "title_canon_sha256": "094540c32712d3f19477f5fd5c13c09960fdfd1454f7e17d98be180089162e41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5068",
    "kind": "arxiv",
    "version": 2
  }
}