Pith Number

pith:6S2MJ4OR

pith:2012:6S2MJ4ORO3PF27YY3FI4VRQ7ZF

not attested not anchored not stored refs pending

Intrinsic Invariants of Cross Caps

Atsufumi Honda, Kosuke Naokawa, Kotaro Yamada, Masaaki Umehara, Masaru Hasegawa

arxiv:1207.3853 v2 · 2012-07-17 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6S2MJ4ORO3PF27YY3FI4VRQ7ZF}

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	2026-05-18T03:41:10.450630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4b4c4f1d176de5d7f18d951cac61fc95ff5ea412f18580d949f13cd72c00bfa

Aliases

arxiv: 1207.3853 · arxiv_version: 1207.3853v2 · doi: 10.48550/arxiv.1207.3853 · pith_short_12: 6S2MJ4ORO3PF · pith_short_16: 6S2MJ4ORO3PF27YY · pith_short_8: 6S2MJ4OR

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/6S2MJ4ORO3PF27YY3FI4VRQ7ZF \
  | 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: f4b4c4f1d176de5d7f18d951cac61fc95ff5ea412f18580d949f13cd72c00bfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74f10586b324e4ebc4c956913d2def901c0ee697a4defd57a07801b2bed2166d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-17T01:12:36Z",
    "title_canon_sha256": "c22b6518721ada778527c1fe055316a57fe45bc5a9b1e9d09f15178ab11baa1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3853",
    "kind": "arxiv",
    "version": 2
  }
}