Pith Number

pith:GFEUAOLB

pith:2013:GFEUAOLBTQHCPRUDB74AFALJ6X

not attested not anchored not stored refs pending

Characterizing classical minimal surfaces via the entropy differential

Jacob Bernstein, Thomas Mettler

arxiv:1301.1663 v3 · 2013-01-08 · 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{GFEUAOLBTQHCPRUDB74AFALJ6X}

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	2026-05-18T00:01:53.873330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31494039619c0e27c6830ff8028169f5c5bea63102125c8c374b9e324a7e205c

Aliases

arxiv: 1301.1663 · arxiv_version: 1301.1663v3 · doi: 10.48550/arxiv.1301.1663 · pith_short_12: GFEUAOLBTQHC · pith_short_16: GFEUAOLBTQHCPRUD · pith_short_8: GFEUAOLB

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/GFEUAOLBTQHCPRUDB74AFALJ6X \
  | 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: 31494039619c0e27c6830ff8028169f5c5bea63102125c8c374b9e324a7e205c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e31953ef23bf6b9819e89000010796eef433fa357b07e5b8f14c43bc8e259a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-08T20:27:46Z",
    "title_canon_sha256": "87e64c4e9ab8360eebdba4a097a69e5ce1b81ded0a6d18b8cfb5728b9a85d5b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1663",
    "kind": "arxiv",
    "version": 3
  }
}