Pith Number

pith:TM3JOILI

pith:2015:TM3JOILIQU4S2NS7ULWEZOCXHV

not attested not anchored not stored refs pending

Moduli spaces of q-connections and gap probabilities

Alisa Knizel

arxiv:1506.06718 v2 · 2015-06-22 · math-ph · math.AG · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TM3JOILIQU4S2NS7ULWEZOCXHV}

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	2026-05-18T01:36:37.846335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b3697216885392d365fa2ec4cb8573d780f2c99658b0421fa39e84ba9de4197

Aliases

arxiv: 1506.06718 · arxiv_version: 1506.06718v2 · doi: 10.48550/arxiv.1506.06718 · pith_short_12: TM3JOILIQU4S · pith_short_16: TM3JOILIQU4S2NS7 · pith_short_8: TM3JOILI

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/TM3JOILIQU4S2NS7ULWEZOCXHV \
  | 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: 9b3697216885392d365fa2ec4cb8573d780f2c99658b0421fa39e84ba9de4197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d30e9980c60416acab22fe133224a4d595d8907561c5b6c934431d942c572fad",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-22T19:03:42Z",
    "title_canon_sha256": "68364a46644fcac4373da6a98d539e4309d98e7695c771f191aa2da47bf82835"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06718",
    "kind": "arxiv",
    "version": 2
  }
}