Pith Number

pith:DZI5F6F4

pith:2012:DZI5F6F4VTEUTG3ONAPIZZLVSI

not attested not anchored not stored refs pending

Conjectural relations in the tautological ring of $\bar{M}_{g,n}$

Aaron Pixton

arxiv:1207.1918 v1 · 2012-07-08 · 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{DZI5F6F4VTEUTG3ONAPIZZLVSI}

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	2026-05-18T03:51:26.623797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e51d2f8bcacc9499b6e681e8ce5759222acaade23d883296e3184321e2bc1f6

Aliases

arxiv: 1207.1918 · arxiv_version: 1207.1918v1 · doi: 10.48550/arxiv.1207.1918 · pith_short_12: DZI5F6F4VTEU · pith_short_16: DZI5F6F4VTEUTG3O · pith_short_8: DZI5F6F4

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/DZI5F6F4VTEUTG3ONAPIZZLVSI \
  | 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: 1e51d2f8bcacc9499b6e681e8ce5759222acaade23d883296e3184321e2bc1f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9e8f6cc9ac23d6bf6be4d58ded773684a0d6f88477594f64a32f4fc51924b0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-08T22:32:32Z",
    "title_canon_sha256": "f23c752afbaa932b874e947beb07781dd0946a54a6391df8cac14deb2019ebcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1918",
    "kind": "arxiv",
    "version": 1
  }
}