Pith Number

pith:FT66NA3Y

pith:2001:FT66NA3YQTE6RVIIOVLEBHVM3C

not attested not anchored not stored refs pending

Presheaves of triangulated categories and reconstruction of schemes

Paul Balmer

arxiv:math/0111049 v2 · 2001-11-05 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FT66NA3YQTE6RVIIOVLEBHVM3C}

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.

Cited by

1 paper in Pith

A Classification of Six Functor Formalisms via Structured Spaces

Receipt and verification

First computed	2026-05-18T02:29:37.196911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cfde6837884c9e8d5087556409eacd8b583fac41fed0ce9157f4753455558b2

Aliases

arxiv: math/0111049 · arxiv_version: math/0111049v2 · doi: 10.48550/arxiv.math/0111049 · pith_short_12: FT66NA3YQTE6 · pith_short_16: FT66NA3YQTE6RVII · pith_short_8: FT66NA3Y

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/FT66NA3YQTE6RVIIOVLEBHVM3C \
  | 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: 2cfde6837884c9e8d5087556409eacd8b583fac41fed0ce9157f4753455558b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d465072168cda10d4b836b3d2e4db4bfee7f1eced3b776776b63ff2f05a59a67",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-11-05T17:04:05Z",
    "title_canon_sha256": "e5c8018d22e822041643198abf700e6a0df2cfed55c708a452e4d3e7f07756c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111049",
    "kind": "arxiv",
    "version": 2
  }
}