Pith Number

pith:SIPOQH5O

pith:2010:SIPOQH5OBN6RX4SYJONGGURYU5

not attested not anchored not stored refs pending

Another viewpoint on J-spaces

Markus Spitzweck

arxiv:1012.1264 v2 · 2010-12-06 · math.AT · 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{SIPOQH5OBN6RX4SYJONGGURYU5}

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	2026-05-18T04:33:38.538395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

921ee81fae0b7d1bf2584b9a635238a74ba266543aca9fc5ea1779635d552a47

Aliases

arxiv: 1012.1264 · arxiv_version: 1012.1264v2 · doi: 10.48550/arxiv.1012.1264 · pith_short_12: SIPOQH5OBN6R · pith_short_16: SIPOQH5OBN6RX4SY · pith_short_8: SIPOQH5O

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/SIPOQH5OBN6RX4SYJONGGURYU5 \
  | 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: 921ee81fae0b7d1bf2584b9a635238a74ba266543aca9fc5ea1779635d552a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1f6a7551314531217f0013f5dd23e52997dc012f97a81ac26681bce6eeac7df",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-12-06T18:06:28Z",
    "title_canon_sha256": "f04045504bdc550766abb86cbf018867dfff962b1d3c6fdab2b70721d44550a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1264",
    "kind": "arxiv",
    "version": 2
  }
}