Pith Number

pith:6BDG2DPT

pith:2011:6BDG2DPTCTCFYNZ4EL2YYHFB3G

not attested not anchored not stored refs pending

Steenrod operations on bar complex

Syunji Moriya

arxiv:1108.4495 v1 · 2011-08-23 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6BDG2DPTCTCFYNZ4EL2YYHFB3G}

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	2026-05-18T04:14:54.441258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0466d0df314c45c373c22f58c1ca1d9a3517a5e2f396403d24159809bd152f3

Aliases

arxiv: 1108.4495 · arxiv_version: 1108.4495v1 · doi: 10.48550/arxiv.1108.4495 · pith_short_12: 6BDG2DPTCTCF · pith_short_16: 6BDG2DPTCTCFYNZ4 · pith_short_8: 6BDG2DPT

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/6BDG2DPTCTCFYNZ4EL2YYHFB3G \
  | 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: f0466d0df314c45c373c22f58c1ca1d9a3517a5e2f396403d24159809bd152f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2209f36e5be50adff511c84b5cbd30db9bd12f910c88b3d71e7d8ad97518b24a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-08-23T04:58:12Z",
    "title_canon_sha256": "99942bdb52182d07b9898327ad3b59d83a15ce589648b33d1786ec5998958f29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4495",
    "kind": "arxiv",
    "version": 1
  }
}