Pith Number

pith:2GFUGCX5

pith:2014:2GFUGCX5QM5OQWI7AGD6AHQWHW

not attested not anchored not stored refs pending

Shadows, ribbon surfaces, and quantum invariants

Alessio Carrega, Bruno Martelli

arxiv:1404.5983 v2 · 2014-04-23 · 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{2GFUGCX5QM5OQWI7AGD6AHQWHW}

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	2026-05-18T02:20:59.426340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d18b430afd833ae8591f0187e01e163dadf4310ea1a31923b147aabf9779e3bb

Aliases

arxiv: 1404.5983 · arxiv_version: 1404.5983v2 · doi: 10.48550/arxiv.1404.5983 · pith_short_12: 2GFUGCX5QM5O · pith_short_16: 2GFUGCX5QM5OQWI7 · pith_short_8: 2GFUGCX5

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/2GFUGCX5QM5OQWI7AGD6AHQWHW \
  | 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: d18b430afd833ae8591f0187e01e163dadf4310ea1a31923b147aabf9779e3bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e9bdf3823f3861d33e58d28af71b6651b20efcc5983698fa0b998551551047",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-04-23T21:00:43Z",
    "title_canon_sha256": "b79bcf65f395c7f0508d7e58495ddbba336f8156dc35813c080afcd057ea84a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5983",
    "kind": "arxiv",
    "version": 2
  }
}