Pith Number

pith:XDSCP6YS

pith:2011:XDSCP6YSPDGR2MHR5QGZZYAO5N

not attested not anchored not stored refs pending

Cobordism of exact links

Osamu Saeki, Vincent Blanloeil

arxiv:1111.4086 v1 · 2011-11-17 · 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{XDSCP6YSPDGR2MHR5QGZZYAO5N}

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	2026-05-18T02:41:43.546647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e427fb1278cd1d30f1ec0d9ce00eeb4d9f424cb34129558b4d19fa41661854

Aliases

arxiv: 1111.4086 · arxiv_version: 1111.4086v1 · doi: 10.48550/arxiv.1111.4086 · pith_short_12: XDSCP6YSPDGR · pith_short_16: XDSCP6YSPDGR2MHR · pith_short_8: XDSCP6YS

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/XDSCP6YSPDGR2MHR5QGZZYAO5N \
  | 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: b8e427fb1278cd1d30f1ec0d9ce00eeb4d9f424cb34129558b4d19fa41661854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aac84fc7011eb13856794b6033f513f075fbbeb44dbbd68953c403cb6d098442",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-17T13:21:44Z",
    "title_canon_sha256": "d7108e2e5dd6ac63e3b49c299ab64ec722f30aa2a2decaeacf96c70c24598852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4086",
    "kind": "arxiv",
    "version": 1
  }
}