Pith Number

pith:IGDNPRQE

pith:2012:IGDNPRQEG7WEJKYI3UHEH7JJII

not attested not anchored not stored refs pending

Morphisms of Generalized Interval Systems and PR-Groups

Ramon Satyendra, Thomas M. Fiore, Thomas Noll

arxiv:1204.5531 v2 · 2012-04-25 · math.GR · 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{IGDNPRQEG7WEJKYI3UHEH7JJII}

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	2026-05-18T03:33:37.825222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4186d7c60437ec44ab08dd0e43fd29421d92992bff7173b96e3d4fdcecea8061

Aliases

arxiv: 1204.5531 · arxiv_version: 1204.5531v2 · doi: 10.48550/arxiv.1204.5531 · pith_short_12: IGDNPRQEG7WE · pith_short_16: IGDNPRQEG7WEJKYI · pith_short_8: IGDNPRQE

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/IGDNPRQEG7WEJKYI3UHEH7JJII \
  | 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: 4186d7c60437ec44ab08dd0e43fd29421d92992bff7173b96e3d4fdcecea8061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06ed9ce888c49f6beeb81e99e635112fc41952eb3f88bfa8e33c3fe30e8cf2c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-25T01:45:40Z",
    "title_canon_sha256": "634949b23465483304372ccf7ad4336a427ab0671520358919d8527c35b9310c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5531",
    "kind": "arxiv",
    "version": 2
  }
}