Pith Number

pith:ZCCP2QZG

pith:2006:ZCCP2QZGMOBUC55HG6IBEAD6H7

not attested not anchored not stored refs pending

M-theory and a Topological String Duality

Cumrun Vafa, Erik Verlinde, Robbert Dijkgraaf

arxiv:hep-th/0602087 v1 · 2006-02-09 · 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{ZCCP2QZGMOBUC55HG6IBEAD6H7}

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.

Cited by

2 papers in Pith

Large Order Enumerative Geometry, Black Holes and Black Rings

Receipt and verification

First computed	2026-07-04T14:53:21.340135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c884fd432663834177a7379012007e3fd4325291406cb04978ae335998b54434

Aliases

arxiv: hep-th/0602087 · arxiv_version: hep-th/0602087v1 · doi: 10.48550/arxiv.hep-th/0602087 · pith_short_12: ZCCP2QZGMOBU · pith_short_16: ZCCP2QZGMOBUC55H · pith_short_8: ZCCP2QZG

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/ZCCP2QZGMOBUC55HG6IBEAD6H7 \
  | 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: c884fd432663834177a7379012007e3fd4325291406cb04978ae335998b54434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eb976c7074b5aac169e6c213dac005090b5fcb7c0cb903f40f6b92e65d33d38",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-02-09T10:48:52Z",
    "title_canon_sha256": "a86eb9d4c2b98439ad03b3be1da877d523f135bdf2652ee8c0c210dcdff57f8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0602087",
    "kind": "arxiv",
    "version": 1
  }
}