Pith Number

pith:SCDGW5U3

pith:2016:SCDGW5U3FBVHM53OCRIUDOWQNV

not attested not anchored not stored refs pending

A geometric description of the homology of surface bundles

Caterina Campagnolo

arxiv:1603.07639 v3 · 2016-03-24 · 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{SCDGW5U3FBVHM53OCRIUDOWQNV}

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	2026-05-18T01:15:06.197211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90866b769b286a76776e145141bad06d61c3fc35370fe7abb3914d035532007e

Aliases

arxiv: 1603.07639 · arxiv_version: 1603.07639v3 · doi: 10.48550/arxiv.1603.07639 · pith_short_12: SCDGW5U3FBVH · pith_short_16: SCDGW5U3FBVHM53O · pith_short_8: SCDGW5U3

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/SCDGW5U3FBVHM53OCRIUDOWQNV \
  | 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: 90866b769b286a76776e145141bad06d61c3fc35370fe7abb3914d035532007e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0339d0143c673129cd2e66f0120628f4cb6e950d428e35b37f74fcdbd4f9c08e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-24T16:23:44Z",
    "title_canon_sha256": "1713e0f3465529950824bcb795ecb21a7b3d3ec40d549ac5f9123be371700907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07639",
    "kind": "arxiv",
    "version": 3
  }
}