Pith Number

pith:6INKACQN

pith:2017:6INKACQN2K7TE7NDXBWAXMGAAC

not attested not anchored not stored refs pending

Trace and Kunneth formulas for singularity categories and applications

Bertrand To\"en, Gabriele Vezzosi

arxiv:1710.05902 v2 · 2017-10-16 · math.AG · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6INKACQN2K7TE7NDXBWAXMGAAC}

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	2026-05-17T23:55:03.698179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f21aa00a0dd2bf327da3b86c0bb0c0009a17077156b4a0d360d779a8c16b259d

Aliases

arxiv: 1710.05902 · arxiv_version: 1710.05902v2 · doi: 10.48550/arxiv.1710.05902 · pith_short_12: 6INKACQN2K7T · pith_short_16: 6INKACQN2K7TE7ND · pith_short_8: 6INKACQN

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/6INKACQN2K7TE7NDXBWAXMGAAC \
  | 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: f21aa00a0dd2bf327da3b86c0bb0c0009a17077156b4a0d360d779a8c16b259d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "240ec88a2558ee7afe705624968f4859226b7b34b50882b7ad8f49e0e8aa80b7",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-16T17:57:10Z",
    "title_canon_sha256": "b41b2c195d33490f39677549659f4cb39e1066df988a7bca06dca74bda72ad5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05902",
    "kind": "arxiv",
    "version": 2
  }
}