Pith Number

pith:AH5WNFPK

pith:2013:AH5WNFPKBWM25YHTTQNUL3ZFUF

not attested not anchored not stored refs pending

The moduli space of maps with crosscaps: Fredholm theory and orientability

Aleksey Zinger, Penka Georgieva

arxiv:1301.1074 v4 · 2013-01-06 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AH5WNFPKBWM25YHTTQNUL3ZFUF}

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	2026-05-18T02:47:41.326173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01fb6695ea0d99aee0f39c1b45ef25a17b3940730bf57534bf6ccc1ba2d12429

Aliases

arxiv: 1301.1074 · arxiv_version: 1301.1074v4 · doi: 10.48550/arxiv.1301.1074 · pith_short_12: AH5WNFPKBWM2 · pith_short_16: AH5WNFPKBWM25YHT · pith_short_8: AH5WNFPK

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/AH5WNFPKBWM25YHTTQNUL3ZFUF \
  | 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: 01fb6695ea0d99aee0f39c1b45ef25a17b3940730bf57534bf6ccc1ba2d12429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d4657a8f43215885ef198e9a6421df071bb03babfd4cd73501f049975c4869b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-01-06T23:19:26Z",
    "title_canon_sha256": "f5fb7acbb1f99b3834cae3671bdcd20dcdee25b155202da051d67c093fa8d4e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1074",
    "kind": "arxiv",
    "version": 4
  }
}