Pith Number

pith:CETGO4AX

pith:2007:CETGO4AXR4GJ2TAYL7Z5LY6RIW

not attested not anchored not stored refs pending

Link Homologies and the Refined Topological Vertex

Amer Iqbal, Can Kozcaz, Cumrun Vafa, Sergei Gukov

arxiv:0705.1368 v1 · 2007-05-10 · hep-th · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CETGO4AXR4GJ2TAYL7Z5LY6RIW}

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	2026-05-18T02:35:31.174557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11266770178f0c9d4c185ff3d5e3d145b466660671a676a5683734b15a2b32a7

Aliases

arxiv: 0705.1368 · arxiv_version: 0705.1368v1 · doi: 10.48550/arxiv.0705.1368 · pith_short_12: CETGO4AXR4GJ · pith_short_16: CETGO4AXR4GJ2TAY · pith_short_8: CETGO4AX

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/CETGO4AXR4GJ2TAYL7Z5LY6RIW \
  | 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: 11266770178f0c9d4c185ff3d5e3d145b466660671a676a5683734b15a2b32a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c50efb636be37ab60915a123a4e943e5f271e5819233bfdac823ab6dcdd13cf",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-05-10T01:06:54Z",
    "title_canon_sha256": "aac4161d948fc78a71f7946812792475d08ad739d81a4f2ecd5b35a9681d3191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1368",
    "kind": "arxiv",
    "version": 1
  }
}