Pith Number

pith:7PNOHWB3

pith:2013:7PNOHWB3PGPVGGAWODVZ2VTTX7

not attested not anchored not stored refs pending

Localization on Three-Manifolds

Dario Martelli, James Sparks, Luis F. Alday, Paul Richmond

arxiv:1307.6848 v3 · 2013-07-25 · 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{7PNOHWB3PGPVGGAWODVZ2VTTX7}

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	2026-05-18T01:48:34.479983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbdae3d83b799f53181670eb9d5673bfced508bf5533ded5e1314a4f78346098

Aliases

arxiv: 1307.6848 · arxiv_version: 1307.6848v3 · doi: 10.48550/arxiv.1307.6848 · pith_short_12: 7PNOHWB3PGPV · pith_short_16: 7PNOHWB3PGPVGGAW · pith_short_8: 7PNOHWB3

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/7PNOHWB3PGPVGGAWODVZ2VTTX7 \
  | 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: fbdae3d83b799f53181670eb9d5673bfced508bf5533ded5e1314a4f78346098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d79bb905b88360e619eca9fcbb622ad82eebf18430ba23b308c08e240239e10f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-07-25T19:32:08Z",
    "title_canon_sha256": "ced32b9960c8f0e45d3a15ec4c2946b4518b06abfbde3cc7ece0e0cc06b81664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6848",
    "kind": "arxiv",
    "version": 3
  }
}