Pith Number

pith:F3ANRNBX

pith:2003:F3ANRNBXNYCNFVKSCM4LEI7KLD

not attested not anchored not stored refs pending

Tate cohomology and periodic localization of polynomial functors

Nicholas J. Kuhn

arxiv:math/0307173 v1 · 2003-07-11 · 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{F3ANRNBXNYCNFVKSCM4LEI7KLD}

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	2026-05-18T01:38:28.935340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ec0d8b4376e04d2d5521338b223ea58cdbd7b28ca5062b0adbac52de79007a8

Aliases

arxiv: math/0307173 · arxiv_version: math/0307173v1 · doi: 10.48550/arxiv.math/0307173 · pith_short_12: F3ANRNBXNYCN · pith_short_16: F3ANRNBXNYCNFVKS · pith_short_8: F3ANRNBX

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/F3ANRNBXNYCNFVKSCM4LEI7KLD \
  | 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: 2ec0d8b4376e04d2d5521338b223ea58cdbd7b28ca5062b0adbac52de79007a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1df48a984033e56dc23e5a92d1424895b93df2f092c2396b69038dbccf3757",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2003-07-11T21:16:53Z",
    "title_canon_sha256": "4d81657d167bc8bbd5db110b904d1126e92d2ea864e9c01e8fd7c240c198e82f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307173",
    "kind": "arxiv",
    "version": 1
  }
}