Pith Number

pith:QGLBHKR4

pith:2010:QGLBHKR46COYSBPGHCSWXPVHKU

not attested not anchored not stored refs pending

Rack Module Enhancements of Counting Invariants

Aaron Haas, Garret Heckel, Jonah Yuen, Qingcheng Zhang, Sam Nelson

arxiv:1008.0114 v1 · 2010-07-31 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGLBHKR46COYSBPGHCSWXPVHKU}

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	2026-05-18T04:42:43.066754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

819613aa3cf09d8905e638a56bbea7551a777c4ee34c086643f480cd4a4ce647

Aliases

arxiv: 1008.0114 · arxiv_version: 1008.0114v1 · doi: 10.48550/arxiv.1008.0114 · pith_short_12: QGLBHKR46COY · pith_short_16: QGLBHKR46COYSBPG · pith_short_8: QGLBHKR4

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/QGLBHKR46COYSBPGHCSWXPVHKU \
  | 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: 819613aa3cf09d8905e638a56bbea7551a777c4ee34c086643f480cd4a4ce647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0c51c9218c9f918c5ee9ab6670f9265dfdb4d5828d9840d68595bfd8c3fd7b3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-07-31T17:51:29Z",
    "title_canon_sha256": "98b6ef89be7a60ceb905fc49616a8b478d820489cf1c0f37f1f38568b3f80cae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0114",
    "kind": "arxiv",
    "version": 1
  }
}