Pith Number

pith:U2JC4H7F

pith:2005:U2JC4H7FLXLL4RLPWTIFOONM3P

not attested not anchored not stored refs pending

On the decomposition of global conformal invariants II

Spyros Alexakis

arxiv:math/0509572 v3 · 2005-09-23 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2JC4H7FLXLL4RLPWTIFOONM3P}

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	2026-05-18T01:05:23.091861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6922e1fe55dd6be456fb4d05739acdbc6725572759ad189c94cae90ee8116a1

Aliases

arxiv: math/0509572 · arxiv_version: math/0509572v3 · doi: 10.48550/arxiv.math/0509572 · pith_short_12: U2JC4H7FLXLL · pith_short_16: U2JC4H7FLXLL4RLP · pith_short_8: U2JC4H7F

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/U2JC4H7FLXLL4RLPWTIFOONM3P \
  | 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: a6922e1fe55dd6be456fb4d05739acdbc6725572759ad189c94cae90ee8116a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f5ac648ebf5e954910580d9e6e4d8af6aee51b27332caf019b75af66260eaeb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-09-23T19:46:59Z",
    "title_canon_sha256": "8228cfcd1cbeac0b30788c9092b80b3f4178b348424125cc8c8ba5aee7deb9fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509572",
    "kind": "arxiv",
    "version": 3
  }
}