Pith Number

pith:R25OUXWG

pith:2016:R25OUXWGC3CFF5YMV4QYVOKRGG

not attested not anchored not stored refs pending

Riemann-Roch for homotopy invariant K-theory and Gysin morphisms

Alberto Navarro

arxiv:1605.00980 v1 · 2016-05-03 · math.KT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R25OUXWGC3CFF5YMV4QYVOKRGG}

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	2026-05-18T01:15:47.526913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ebaea5ec616c452f70caf218ab95131bcfaa69f1103659817d0fa5bbafdb845

Aliases

arxiv: 1605.00980 · arxiv_version: 1605.00980v1 · doi: 10.48550/arxiv.1605.00980 · pith_short_12: R25OUXWGC3CF · pith_short_16: R25OUXWGC3CFF5YM · pith_short_8: R25OUXWG

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/R25OUXWGC3CFF5YMV4QYVOKRGG \
  | 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: 8ebaea5ec616c452f70caf218ab95131bcfaa69f1103659817d0fa5bbafdb845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d2954e6f17c9f2a32f7afe739e235270277572fa17ac2607f62d3d974f28712",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-05-03T16:49:41Z",
    "title_canon_sha256": "6a2f84e09f22f5d663b84c922417c87576ccfbb822bf5c68d3ed2d012c651597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00980",
    "kind": "arxiv",
    "version": 1
  }
}