Pith Number

pith:U6MBW2GA

pith:2012:U6MBW2GANPP23OLF7J5OE4CPTE

not attested not anchored not stored refs pending

A note on renormalized volume functionals

C. Robin Graham, Hao Fang, Sun-Yung Alice Chang

arxiv:1211.6422 v1 · 2012-11-27 · 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{U6MBW2GANPP23OLF7J5OE4CPTE}

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	2026-05-18T03:39:51.857524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7981b68c06bdfadb965fa7ae2704f9928c42a702cf8a27488cb741280b6a886

Aliases

arxiv: 1211.6422 · arxiv_version: 1211.6422v1 · doi: 10.48550/arxiv.1211.6422 · pith_short_12: U6MBW2GANPP2 · pith_short_16: U6MBW2GANPP23OLF · pith_short_8: U6MBW2GA

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/U6MBW2GANPP23OLF7J5OE4CPTE \
  | 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: a7981b68c06bdfadb965fa7ae2704f9928c42a702cf8a27488cb741280b6a886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bb69c0a1168eebb971ea41418c3f3171ac2131d12b24060e4388f06634f1d53",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-27T20:58:14Z",
    "title_canon_sha256": "c3fb0151e3566e4a912b5fd414512725cad79ad2ef9bacd7b65b71bf6c6b45d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6422",
    "kind": "arxiv",
    "version": 1
  }
}