Pith Number

pith:L5YLCACW

pith:2011:L5YLCACWS52OYCPU5L3QLTBLV3

not attested not anchored not stored refs pending

On Eckl's pseudo-effective reduction map

Brian Lehmann

arxiv:1103.1073 v3 · 2011-03-05 · 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{L5YLCACWS52OYCPU5L3QLTBLV3}

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	2026-05-18T04:12:42.814853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f70b100569774ec09f4eaf705cc2baefed81d7596fc7bf21c818d8825314885

Aliases

arxiv: 1103.1073 · arxiv_version: 1103.1073v3 · doi: 10.48550/arxiv.1103.1073 · pith_short_12: L5YLCACWS52O · pith_short_16: L5YLCACWS52OYCPU · pith_short_8: L5YLCACW

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/L5YLCACWS52OYCPU5L3QLTBLV3 \
  | 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: 5f70b100569774ec09f4eaf705cc2baefed81d7596fc7bf21c818d8825314885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b414d21ac40091f093f26f9132e79799818b607471752dc477dc1c7228ae956",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-05T18:24:30Z",
    "title_canon_sha256": "41be594c6f1cd5106139b3d4e34868d78d82ee6c314a5086d002e0d229aa091f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1073",
    "kind": "arxiv",
    "version": 3
  }
}