Pith Number

pith:CMM52TQX

pith:2011:CMM52TQXIFYJD5Z4BZVUNRECDI

not attested not anchored not stored refs pending

Duality for Topological Modular Forms

Vesna Stojanoska

arxiv:1105.3968 v3 · 2011-05-19 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMM52TQXIFYJD5Z4BZVUNRECDI}

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	2026-05-18T03:28:54.317341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1319dd4e17417091f73c0e6b46c4821a3e161ab170d1307c7545d68831883b0d

Aliases

arxiv: 1105.3968 · arxiv_version: 1105.3968v3 · doi: 10.48550/arxiv.1105.3968 · pith_short_12: CMM52TQXIFYJ · pith_short_16: CMM52TQXIFYJD5Z4 · pith_short_8: CMM52TQX

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/CMM52TQXIFYJD5Z4BZVUNRECDI \
  | 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: 1319dd4e17417091f73c0e6b46c4821a3e161ab170d1307c7545d68831883b0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74cea6d7a71392a3bd6e922e545ba467db76c76b0b10648dedf08363422e9e64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-05-19T19:31:21Z",
    "title_canon_sha256": "bc48814f4a0a183ff4701a4fc12c35ecf6f2cca3acce7c524be2bf662193d240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3968",
    "kind": "arxiv",
    "version": 3
  }
}