Pith Number

pith:64GYUU6X

pith:2004:64GYUU6XPAPIROXLAB62PZ7ZK3

not attested not anchored not stored refs pending

Basic results in Vacuum Statistics

Michael R. Douglas (Rutgers/IHES)

arxiv:hep-th/0409207 v1 · 2004-09-20 · 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{64GYUU6XPAPIROXLAB62PZ7ZK3}

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	2026-07-04T16:49:01.837496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f70d8a53d7781e88baeb007da7e7f956fc97e6b6e48ff3544661d04204d8d876

Aliases

arxiv: hep-th/0409207 · arxiv_version: hep-th/0409207v1 · doi: 10.48550/arxiv.hep-th/0409207 · pith_short_12: 64GYUU6XPAPI · pith_short_16: 64GYUU6XPAPIROXL · pith_short_8: 64GYUU6X

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/64GYUU6XPAPIROXLAB62PZ7ZK3 \
  | 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: f70d8a53d7781e88baeb007da7e7f956fc97e6b6e48ff3544661d04204d8d876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc17a9fea80e6037c9ec0affbd85ec7c82cf153f733f6cca39d920d8207a1ef5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-09-20T18:15:03Z",
    "title_canon_sha256": "14e7f983113c915f379e13da7225273beb296de6091ee06149726c6ac0750ee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0409207",
    "kind": "arxiv",
    "version": 1
  }
}