Pith Number

pith:NWMUP4RA

pith:2012:NWMUP4RABKNABBV5DZCPTTLM3C

not attested not anchored not stored refs pending

The spectrum of the Chern subring

David J. Green, Ian J. Leary

arxiv:1210.6579 v1 · 2012-10-24 · math.GR · 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{NWMUP4RABKNABBV5DZCPTTLM3C}

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	2026-05-18T02:26:45.694647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d9947f2200a9a0086bd1e44f9cd6cd8823a7cfc93d77fd7289a059de0238127

Aliases

arxiv: 1210.6579 · arxiv_version: 1210.6579v1 · doi: 10.48550/arxiv.1210.6579 · pith_short_12: NWMUP4RABKNA · pith_short_16: NWMUP4RABKNABBV5 · pith_short_8: NWMUP4RA

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/NWMUP4RABKNABBV5DZCPTTLM3C \
  | 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: 6d9947f2200a9a0086bd1e44f9cd6cd8823a7cfc93d77fd7289a059de0238127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b3f93f8b89ade2909e4b4a4bfe98740cca16af4105ca98a7f7e9637d76a63a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-10-24T15:49:57Z",
    "title_canon_sha256": "f9b04b6612e8087a13e7e9b964b3bd3c815907a838cb229cc9177a19bad1dadc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6579",
    "kind": "arxiv",
    "version": 1
  }
}