Pith Number

pith:KU7BHF66

pith:2017:KU7BHF66N6R54L5VID3GF2W3OU

not attested not anchored not stored refs pending

Sheaves and Duality in the Two-Vertex Graph Riemann-Roch Theorem

Joel Friedman, Nicolas Folinsbee

arxiv:1712.08695 v2 · 2017-12-23 · math.CO · math.AT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KU7BHF66N6R54L5VID3GF2W3OU}

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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.

Cited by

1 paper in Pith

Duality and a Canonical Sheaf in Periodic Riemann Functions

Receipt and verification

First computed	2026-07-05T04:43:55.409343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

553e1397de6fa3de2fb540f662eadb7538c825eb0a0ef0d135a74d5b15bd3535

Aliases

arxiv: 1712.08695 · arxiv_version: 1712.08695v2 · doi: 10.48550/arxiv.1712.08695 · pith_short_12: KU7BHF66N6R5 · pith_short_16: KU7BHF66N6R54L5V · pith_short_8: KU7BHF66

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/KU7BHF66N6R54L5VID3GF2W3OU \
  | 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: 553e1397de6fa3de2fb540f662eadb7538c825eb0a0ef0d135a74d5b15bd3535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6e6a953bfd60660a52535b0a3d15a5be634d702296424905ca99b6a1c8adaca",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-23T01:03:18Z",
    "title_canon_sha256": "2bfb972716b53d3732c0f75d9aaa213011487da74e06b1d4a9c286b7598f35f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08695",
    "kind": "arxiv",
    "version": 2
  }
}