Pith Number

pith:M6E2WLTR

pith:2010:M6E2WLTRLE6NRW2TASOHL44ZWE

not attested not anchored not stored refs pending

The 2-group of symmetries of a split chain complex

Josep Elgueta

arxiv:1012.1964 v1 · 2010-12-09 · math.KT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6E2WLTRLE6NRW2TASOHL44ZWE}

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	2026-05-18T03:16:17.797405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6789ab2e71593cd8db53049c75f399b1087beef100f0ad5c0dd954149c9adcf1

Aliases

arxiv: 1012.1964 · arxiv_version: 1012.1964v1 · doi: 10.48550/arxiv.1012.1964 · pith_short_12: M6E2WLTRLE6N · pith_short_16: M6E2WLTRLE6NRW2T · pith_short_8: M6E2WLTR

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/M6E2WLTRLE6NRW2TASOHL44ZWE \
  | 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: 6789ab2e71593cd8db53049c75f399b1087beef100f0ad5c0dd954149c9adcf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42626943bad0c0c59de8539e3d334ba4c86cd8917522e7cbd9a4bd2067603d80",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-12-09T10:02:45Z",
    "title_canon_sha256": "55381e5119b07b3a139d2244b5e58a456d46c940e9e3d309123fe4aaea8b4a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1964",
    "kind": "arxiv",
    "version": 1
  }
}