Pith Number

pith:ATU7AVMC

pith:2011:ATU7AVMCBZT6AN763CIHOTZL4A

not attested not anchored not stored refs pending

A non-boundary nef divisor on $\bar{M}_{0,12}$

Aaron Pixton

arxiv:1112.5512 v1 · 2011-12-23 · 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{ATU7AVMCBZT6AN763CIHOTZL4A}

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	2026-05-18T02:38:17.914872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e9f055820e67e037fed890774f2be008b9c8642079ac47d065706d3b38b1af

Aliases

arxiv: 1112.5512 · arxiv_version: 1112.5512v1 · doi: 10.48550/arxiv.1112.5512 · pith_short_12: ATU7AVMCBZT6 · pith_short_16: ATU7AVMCBZT6AN76 · pith_short_8: ATU7AVMC

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/ATU7AVMCBZT6AN763CIHOTZL4A \
  | 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: 04e9f055820e67e037fed890774f2be008b9c8642079ac47d065706d3b38b1af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8487a9da0a76dd1acd7225f4a29d719b57faee5c8647e353f301cc01bcde7d1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-23T04:04:35Z",
    "title_canon_sha256": "bc83e2f3a206de5412ccf466f58b0d0b814dd88932c99c2982d4873c8f035f96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5512",
    "kind": "arxiv",
    "version": 1
  }
}