Pith Number

pith:MTGKFRW2

pith:2015:MTGKFRW23HIPO2EFXJIOCSVOXU

not attested not anchored not stored refs pending

Uniqueness of the surface energy density for a Wulff shape with $C^1$ boundary

Huhe Han, Takashi Nishimura

arxiv:1509.02786 v2 · 2015-09-02 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTGKFRW23HIPO2EFXJIOCSVOXU}

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	2026-05-18T00:51:28.564694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64cca2c6dad9d0f76885ba50e14aaebd0a10e4b878c4194e31af7a2ead2d28c3

Aliases

arxiv: 1509.02786 · arxiv_version: 1509.02786v2 · doi: 10.48550/arxiv.1509.02786 · pith_short_12: MTGKFRW23HIP · pith_short_16: MTGKFRW23HIPO2EF · pith_short_8: MTGKFRW2

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/MTGKFRW23HIPO2EFXJIOCSVOXU \
  | 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: 64cca2c6dad9d0f76885ba50e14aaebd0a10e4b878c4194e31af7a2ead2d28c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5842a17afc250d22d1abc30174c2f890285ba91b2b20c81071595702ad27bcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-09-02T00:18:34Z",
    "title_canon_sha256": "9e3673b91b54cc5f139b517911be41709ae98af6a76396f935a3443877b72068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02786",
    "kind": "arxiv",
    "version": 2
  }
}