Pith Number

pith:JNY3W254

pith:2007:JNY3W254T4Y4PW3ZUCXTBJHAGW

not attested not anchored not stored refs pending

The Extended Bloch Group and the Cheeger-Chern-Simons Class

C. Zickert, S. Goette

arxiv:0705.0500 v1 · 2007-05-03 · 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{JNY3W254T4Y4PW3ZUCXTBJHAGW}

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	2026-05-18T02:38:19.497808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b71bb6bbc9f31c7db79a0af30a4e035881fedcd4f7828f2c6ba343a3f51305a

Aliases

arxiv: 0705.0500 · arxiv_version: 0705.0500v1 · doi: 10.48550/arxiv.0705.0500 · pith_short_12: JNY3W254T4Y4 · pith_short_16: JNY3W254T4Y4PW3Z · pith_short_8: JNY3W254

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/JNY3W254T4Y4PW3ZUCXTBJHAGW \
  | 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: 4b71bb6bbc9f31c7db79a0af30a4e035881fedcd4f7828f2c6ba343a3f51305a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1cc33ed2410ea7ff3773995721b09f1bb45e824d877c8cdc2cfc547b763a496",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-05-03T19:25:15Z",
    "title_canon_sha256": "8b9a8f752092b9770cc3d68119b3c4c60dd37391a165262d787ff851c9a473c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0500",
    "kind": "arxiv",
    "version": 1
  }
}