Pith Number

pith:YXC2CY7R

pith:2007:YXC2CY7RKZDAHGRVDMOBU3DJ4Y

not attested not anchored not stored refs pending

Existence and properties of geometric quotients

David Rydh

arxiv:0708.3333 v2 · 2007-08-24 · 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{YXC2CY7RKZDAHGRVDMOBU3DJ4Y}

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	2026-05-18T03:16:06.842294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5c5a163f15646039a351b1c1a6c69e635582ee79cd247664e91bb68f5206ebf

Aliases

arxiv: 0708.3333 · arxiv_version: 0708.3333v2 · doi: 10.48550/arxiv.0708.3333 · pith_short_12: YXC2CY7RKZDA · pith_short_16: YXC2CY7RKZDAHGRV · pith_short_8: YXC2CY7R

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/YXC2CY7RKZDAHGRVDMOBU3DJ4Y \
  | 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: c5c5a163f15646039a351b1c1a6c69e635582ee79cd247664e91bb68f5206ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bef6199d84d5e4f15cbb02441abef94b7327d28396a4ea3c5edec3d58c428db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-08-24T12:59:19Z",
    "title_canon_sha256": "2a2f9528aab33ee00711fc7c3ea8412324f516d8e2a5a30f5fbb8544cef4e97e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3333",
    "kind": "arxiv",
    "version": 2
  }
}