Pith Number

pith:CP6Q5NCT

pith:2013:CP6Q5NCTR4EKMMCOEWTDFHG7DU

not attested not anchored not stored refs pending

Non-orientable surfaces in homology cobordisms

Adam Simon Levine, Daniel Ruberman, Ira M. Gessel, Saso Strle

arxiv:1310.8516 v1 · 2013-10-31 · 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{CP6Q5NCTR4EKMMCOEWTDFHG7DU}

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	2026-05-18T02:03:38.010712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13fd0eb4538f08a6304e25a6329cdf1d2eab5f007203f7ce3aaa4ca5613936eb

Aliases

arxiv: 1310.8516 · arxiv_version: 1310.8516v1 · doi: 10.48550/arxiv.1310.8516 · pith_short_12: CP6Q5NCTR4EK · pith_short_16: CP6Q5NCTR4EKMMCO · pith_short_8: CP6Q5NCT

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/CP6Q5NCTR4EKMMCOEWTDFHG7DU \
  | 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: 13fd0eb4538f08a6304e25a6329cdf1d2eab5f007203f7ce3aaa4ca5613936eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2074c7240937e123c2efc22ac0be4f6dab2c93cbdf8c702d319af72f96603e55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-31T14:21:49Z",
    "title_canon_sha256": "a10295bd1b0c558a8286b72f1a6cce1045365caef431aa79984c072ed6d9890a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8516",
    "kind": "arxiv",
    "version": 1
  }
}