Pith Number

pith:Q2CFUF6D

pith:2025:Q2CFUF6DVVTHAD2YA2II4SP2OF

not attested not anchored not stored refs pending

Coherent six-functor formalisms: Pro vs Solid

Fei Ren

arxiv:2506.21082 v3 · 2025-06-26 · math.AG · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2CFUF6DVVTHAD2YA2II4SP2OF}

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	2026-05-20T01:06:05.076740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86845a17c3ad66700f5806908e49fa71548c355575d6f1e74a01f131b1440562

Aliases

arxiv: 2506.21082 · arxiv_version: 2506.21082v3 · doi: 10.48550/arxiv.2506.21082 · pith_short_12: Q2CFUF6DVVTH · pith_short_16: Q2CFUF6DVVTHAD2Y · pith_short_8: Q2CFUF6D

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/Q2CFUF6DVVTHAD2YA2II4SP2OF \
  | 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: 86845a17c3ad66700f5806908e49fa71548c355575d6f1e74a01f131b1440562

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88f8863b0c83ad56cf72a49a9d02f479021c21744b95f77967ce00b9ede4957a",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-26T08:16:51Z",
    "title_canon_sha256": "25d7d6122a02328cbc9921add7d03d40ff3ae41be81426c70098590a5f82f1ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21082",
    "kind": "arxiv",
    "version": 3
  }
}