Pith Number

pith:UMAAYOZP

pith:2006:UMAAYOZPJ6CWXSZMPMTQGCLDKS

not attested not anchored not stored refs pending

Phantom Black Holes

C.J.Gao, S.N.Zhang

arxiv:hep-th/0604114 v2 · 2006-04-17 · 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{UMAAYOZPJ6CWXSZMPMTQGCLDKS}

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	2026-07-04T14:54:32.547265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3000c3b2f4f856bcb2c7b27030963548b45f60036337fdc51831b1701d217bc

Aliases

arxiv: hep-th/0604114 · arxiv_version: hep-th/0604114v2 · doi: 10.48550/arxiv.hep-th/0604114 · pith_short_12: UMAAYOZPJ6CW · pith_short_16: UMAAYOZPJ6CWXSZM · pith_short_8: UMAAYOZP

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/UMAAYOZPJ6CWXSZMPMTQGCLDKS \
  | 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: a3000c3b2f4f856bcb2c7b27030963548b45f60036337fdc51831b1701d217bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d4e73768d882b5ca4d5bf77b21749794b80ae33f903f1e15cd3187bd3486ea4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-04-17T01:02:57Z",
    "title_canon_sha256": "6880d9f0214ce409877a0a1857383867dd172ed43bd4ca6b9da8c0799b69726a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0604114",
    "kind": "arxiv",
    "version": 2
  }
}