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Pith Number

pith:3SBODMRM

pith:2016:3SBODMRMEPJOC7UITXP5YJEABW
not attested not anchored not stored refs pending

Functorial Test Modules

Axel St\"abler, Manuel Blickle

arxiv:1605.09517 v2 · 2016-05-31 · math.AG · math.AC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3SBODMRMEPJOC7UITXP5YJEABW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T01:07:53.640980Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dc82e1b22c23d2e17e889ddfdc24800dbc83ec1780695cf40f25eedac20eeb73

Aliases

arxiv: 1605.09517 · arxiv_version: 1605.09517v2 · doi: 10.48550/arxiv.1605.09517 · pith_short_12: 3SBODMRMEPJO · pith_short_16: 3SBODMRMEPJOC7UI · pith_short_8: 3SBODMRM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3SBODMRMEPJOC7UITXP5YJEABW \
  | 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: dc82e1b22c23d2e17e889ddfdc24800dbc83ec1780695cf40f25eedac20eeb73
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "52df1c6c01f5bee75e7b4c20f44eb5094693aa136e80094a824ee65e1e52a874",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-31T07:40:46Z",
    "title_canon_sha256": "8daf958fe6e998754d11b6751141b1152fef1275979065b4f673cc728fe11037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09517",
    "kind": "arxiv",
    "version": 2
  }
}