Pith Number

pith:AEMW4RMG

pith:2012:AEMW4RMGACHO3HV2L4CEZ5LTBT

not attested not anchored not stored refs pending

The geometry of toric schemes

Fred Rohrer

arxiv:1207.0605 v2 · 2012-07-03 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AEMW4RMGACHO3HV2L4CEZ5LTBT}

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	2026-05-18T03:34:14.057207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01196e4586008eed9eba5f044cf5730cfb4c8f338b3c0dfa0744090dbd3563bd

Aliases

arxiv: 1207.0605 · arxiv_version: 1207.0605v2 · doi: 10.48550/arxiv.1207.0605 · pith_short_12: AEMW4RMGACHO · pith_short_16: AEMW4RMGACHO3HV2 · pith_short_8: AEMW4RMG

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/AEMW4RMGACHO3HV2L4CEZ5LTBT \
  | 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: 01196e4586008eed9eba5f044cf5730cfb4c8f338b3c0dfa0744090dbd3563bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b777061d9bac6e463b1e948ceb0d93530c6e14bc1f91ca3fff4aeaae0e3c748",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-03T08:27:33Z",
    "title_canon_sha256": "39b1f6a7b7a3454234d6999712e7035aaaf92ce29a7d96de53da27b1b8b3c1d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0605",
    "kind": "arxiv",
    "version": 2
  }
}