Pith Number

pith:2FNCRBXD

pith:2019:2FNCRBXD4RVMS2MJCDEAHFYZWL

not attested not anchored not stored refs pending

On the higher Riemann-Roch without denominators

Alberto Navarro

arxiv:1901.09337 v1 · 2019-01-27 · 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{2FNCRBXD4RVMS2MJCDEAHFYZWL}

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	2026-05-17T23:55:25.075971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d15a2886e3e46ac9698910c8039719b2c15d65d29851e987e8a8f130a29e1d29

Aliases

arxiv: 1901.09337 · arxiv_version: 1901.09337v1 · doi: 10.48550/arxiv.1901.09337 · pith_short_12: 2FNCRBXD4RVM · pith_short_16: 2FNCRBXD4RVMS2MJ · pith_short_8: 2FNCRBXD

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/2FNCRBXD4RVMS2MJCDEAHFYZWL \
  | 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: d15a2886e3e46ac9698910c8039719b2c15d65d29851e987e8a8f130a29e1d29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd34d795125876ee2c1817ffab7de57f5c810efdbde3dd5c39f7b3eefc676d67",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-01-27T08:49:25Z",
    "title_canon_sha256": "e3d46178d4911519deb64cc88114e204708cd4c71831ecebb2dff0ba0481cf43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09337",
    "kind": "arxiv",
    "version": 1
  }
}