Pith Number

pith:VNZFIJ4D

pith:2007:VNZFIJ4DYPJRCJ62GDQFNJFTPK

not attested not anchored not stored refs pending

Noncommutative Gravity and the *-Lie algebra of diffeomorphisms

Paolo Aschieri

arxiv:hep-th/0703014 v1 · 2007-03-02 · 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{VNZFIJ4DYPJRCJ62GDQFNJFTPK}

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	2026-07-04T15:18:56.173229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab72542783c3d31127da30e056a4b37a90b3c869df287d855dff9cdcb6f398c8

Aliases

arxiv: hep-th/0703014 · arxiv_version: hep-th/0703014v1 · doi: 10.48550/arxiv.hep-th/0703014 · pith_short_12: VNZFIJ4DYPJR · pith_short_16: VNZFIJ4DYPJRCJ62 · pith_short_8: VNZFIJ4D

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/VNZFIJ4DYPJRCJ62GDQFNJFTPK \
  | 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: ab72542783c3d31127da30e056a4b37a90b3c869df287d855dff9cdcb6f398c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec2c1d8366e2c63e83b21344fbf79c2429dc3a5a1266794b1dfa8d3bb06ac7f5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-03-02T03:17:20Z",
    "title_canon_sha256": "e9f99dd646d84ce2b3a131e673496f5ed40f158e3a6a85b1026111ab6e8aa0c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0703014",
    "kind": "arxiv",
    "version": 1
  }
}