Pith Number

pith:CJT6NXBH

pith:2010:CJT6NXBH3LLGQY75MUCIYBBM7Z

not attested not anchored not stored refs pending

The norm of the Euler class

Michelle Bucher, Nicolas Monod

arxiv:1009.2316 v1 · 2010-09-13 · math.GT · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJT6NXBH3LLGQY75MUCIYBBM7Z}

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	2026-05-18T03:51:36.132388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1267e6dc27dad66863fd65048c042cfe5f6215a0a6e5ccece1465f230b62dde9

Aliases

arxiv: 1009.2316 · arxiv_version: 1009.2316v1 · doi: 10.48550/arxiv.1009.2316 · pith_short_12: CJT6NXBH3LLG · pith_short_16: CJT6NXBH3LLGQY75 · pith_short_8: CJT6NXBH

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/CJT6NXBH3LLGQY75MUCIYBBM7Z \
  | 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: 1267e6dc27dad66863fd65048c042cfe5f6215a0a6e5ccece1465f230b62dde9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "777bb10135ea72257b28b3a0298e0537fc38b7270fb17823e9e85f9212826865",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-13T07:54:11Z",
    "title_canon_sha256": "345bb757fb70fad4fa2a1d5a3ccc2c2e5164c4078d72dbb74af3b78dc4f35e2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2316",
    "kind": "arxiv",
    "version": 1
  }
}