Pith Number

pith:F6D7L72U

pith:2015:F6D7L72UR2GEFHTAS5FGNF6MGR

not attested not anchored not stored refs pending

Modular interpretation of a non-reductive Chow quotient

Noah Giansiracusa, Patricio Gallardo

arxiv:1509.03608 v2 · 2015-09-11 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F6D7L72UR2GEFHTAS5FGNF6MGR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:35:05.694701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f87f5ff548e8c429e60974a6697cc346ddd87c63faafe4a5a1cd4d1da7ae76a

Aliases

arxiv: 1509.03608 · arxiv_version: 1509.03608v2 · doi: 10.48550/arxiv.1509.03608 · pith_short_12: F6D7L72UR2GE · pith_short_16: F6D7L72UR2GEFHTA · pith_short_8: F6D7L72U

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/F6D7L72UR2GEFHTAS5FGNF6MGR \
  | 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: 2f87f5ff548e8c429e60974a6697cc346ddd87c63faafe4a5a1cd4d1da7ae76a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd26af0b0f457ce0db43ff2a1a118840c0996cefd5ef246a67cf20a92aa1a0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-11T19:01:31Z",
    "title_canon_sha256": "ce04008ebebf8764aa3fbaba144d820caa76779e27ab18f8ca35de0e6469c03f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03608",
    "kind": "arxiv",
    "version": 2
  }
}