Pith Number

pith:KC32PUQO

pith:2014:KC32PUQO4RV42CSJ6FJOLN6YWD

not attested not anchored not stored refs pending

Moduli of morphisms of logarithmic schemes

Jonathan Wise

arxiv:1408.0037 v2 · 2014-07-31 · 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{KC32PUQO4RV42CSJ6FJOLN6YWD}

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	2026-05-18T01:11:13.745848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b7a7d20ee46bcd0a49f152e5b7d8b0d5e2d41f2c03d5feee94f8290f71c805

Aliases

arxiv: 1408.0037 · arxiv_version: 1408.0037v2 · doi: 10.48550/arxiv.1408.0037 · pith_short_12: KC32PUQO4RV4 · pith_short_16: KC32PUQO4RV42CSJ · pith_short_8: KC32PUQO

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/KC32PUQO4RV42CSJ6FJOLN6YWD \
  | 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: 50b7a7d20ee46bcd0a49f152e5b7d8b0d5e2d41f2c03d5feee94f8290f71c805

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34578b66126c4c501ce850bbb6da530b5980b708dda01c4686762391f4926f77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-31T22:02:31Z",
    "title_canon_sha256": "b08f58e8338ff9016046cb041e1b35087f5a4b657656301bc4e639f194dd0a91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0037",
    "kind": "arxiv",
    "version": 2
  }
}