Pith Number

pith:V3QBX57I

pith:2013:V3QBX57IG5GXEHBUHK7LAT5PHV

not attested not anchored not stored refs pending

Renormalized volume and the evolution of APEs

Eric Bahuaud, Eric Woolgar, Rafe Mazzeo

arxiv:1307.4788 v2 · 2013-07-17 · math.DG · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3QBX57IG5GXEHBUHK7LAT5PHV}

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	2026-05-18T01:21:14.056967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee01bf7e8374d721c343abeb04faf3d600cc2f2c8f11e88b43a96cb26f35d06

Aliases

arxiv: 1307.4788 · arxiv_version: 1307.4788v2 · doi: 10.48550/arxiv.1307.4788 · pith_short_12: V3QBX57IG5GX · pith_short_16: V3QBX57IG5GXEHBU · pith_short_8: V3QBX57I

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/V3QBX57IG5GXEHBUHK7LAT5PHV \
  | 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: aee01bf7e8374d721c343abeb04faf3d600cc2f2c8f11e88b43a96cb26f35d06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "916b22ad22c015a1701035e68c3afe67f4fa0f9b0c8df8a8e57adb76ee05236c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-17T20:49:05Z",
    "title_canon_sha256": "38fddf14989188db3a3e8111e04a0d440cfcb1fb6f0e084acf2b7cbbfd3ff51d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4788",
    "kind": "arxiv",
    "version": 2
  }
}