Pith Number

pith:2CIVITDV

pith:2016:2CIVITDVDA476C3OGKTYGPEJ7W

not attested not anchored not stored refs pending

Mock Modular Index of M2-M5 Brane System

Douglas J. Smith, Tadashi Okazaki

arxiv:1612.07565 v2 · 2016-12-22 · hep-th · math.AG · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2CIVITDVDA476C3OGKTYGPEJ7W}

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	2026-05-18T00:39:47.077020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d091544c751839ff0b6e32a7833c89fdacbe99b8b02ac5e72d1c282a502ab60a

Aliases

arxiv: 1612.07565 · arxiv_version: 1612.07565v2 · doi: 10.48550/arxiv.1612.07565 · pith_short_12: 2CIVITDVDA47 · pith_short_16: 2CIVITDVDA476C3O · pith_short_8: 2CIVITDV

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/2CIVITDVDA476C3OGKTYGPEJ7W \
  | 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: d091544c751839ff0b6e32a7833c89fdacbe99b8b02ac5e72d1c282a502ab60a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b399330ca22f5eac6d09766bedd03139460d013b8e68ed91aabb8fe507840f6",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-22T12:11:57Z",
    "title_canon_sha256": "6fa2f24583eb86eefbafac3072f700bde448ebf6c6f19a983b73e7303063c3d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07565",
    "kind": "arxiv",
    "version": 2
  }
}