Pith Number

pith:TLAAGIBC

pith:2008:TLAAGIBCYNNO3FD5XP67XP27WL

not attested not anchored not stored refs pending

Infinite Degeneracy of States in Quantum Gravity

Jonathan Hackett, Yidun Wan

arxiv:0811.2161 v2 · 2008-11-13 · hep-th · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLAAGIBCYNNO3FD5XP67XP27WL}

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	2026-05-18T04:18:24.374250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ac0032022c35aed947dbbfdfbbf5fb2f837c7e7b853d1df17ab7ea99177d245

Aliases

arxiv: 0811.2161 · arxiv_version: 0811.2161v2 · doi: 10.48550/arxiv.0811.2161 · pith_short_12: TLAAGIBCYNNO · pith_short_16: TLAAGIBCYNNO3FD5 · pith_short_8: TLAAGIBC

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/TLAAGIBCYNNO3FD5XP67XP27WL \
  | 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: 9ac0032022c35aed947dbbfdfbbf5fb2f837c7e7b853d1df17ab7ea99177d245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd9dfe7edb75db0be12827a402e0815208069d059567143fca6ec8fe96cd67e9",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-11-13T16:11:47Z",
    "title_canon_sha256": "e2efa75b3e4061812bbc3c3d9ccaeb1a4c27f4aa4c01adaf29b268b6b516a011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2161",
    "kind": "arxiv",
    "version": 2
  }
}