Pith Number

pith:FDHMYVCR

pith:2005:FDHMYVCRDQLJCBDTKDEU6OG4LZ

not attested not anchored not stored refs pending

Moduli of complexes on a proper morphism

Max Lieblich

arxiv:math/0502198 v2 · 2005-02-09 · 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{FDHMYVCRDQLJCBDTKDEU6OG4LZ}

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	2026-05-18T00:13:08.539865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28cecc54511c1691047350c94f38dc5e41ad5e08e648be69b87e644c8475959d

Aliases

arxiv: math/0502198 · arxiv_version: math/0502198v2 · doi: 10.48550/arxiv.math/0502198 · pith_short_12: FDHMYVCRDQLJ · pith_short_16: FDHMYVCRDQLJCBDT · pith_short_8: FDHMYVCR

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/FDHMYVCRDQLJCBDTKDEU6OG4LZ \
  | 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: 28cecc54511c1691047350c94f38dc5e41ad5e08e648be69b87e644c8475959d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff2030cbbc3cd14b8f3297416231e9c139b345c5eed632998904e5e2cc6d604f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-02-09T17:52:45Z",
    "title_canon_sha256": "f74b9c771c6db8fbde630db68d49f9e26aebc52c1c1171cafbf97c3f06ba52a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502198",
    "kind": "arxiv",
    "version": 2
  }
}