Pith Number

pith:63V4FSAJ

pith:2024:63V4FSAJGUE7ZPY77IIOHOAWZR

not attested not anchored not stored refs pending

On the integration of Manin pairs

David Li-Bland, Eckhard Meinrenken

arxiv:2411.17988 v1 · 2024-11-27 · 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{63V4FSAJGUE7ZPY77IIOHOAWZR}

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	2026-07-05T10:58:20.682077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ebc2c8093509fcbf1ffa10e3b816cc4f928a5b83ad5a495d814c5687493dd7

Aliases

arxiv: 2411.17988 · arxiv_version: 2411.17988v1 · doi: 10.48550/arxiv.2411.17988 · pith_short_12: 63V4FSAJGUE7 · pith_short_16: 63V4FSAJGUE7ZPY7 · pith_short_8: 63V4FSAJ

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/63V4FSAJGUE7ZPY77IIOHOAWZR \
  | 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: f6ebc2c8093509fcbf1ffa10e3b816cc4f928a5b83ad5a495d814c5687493dd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40a62121864ba8127d9cfeca7a9603d3f7012240f71d65b430693b648f867cec",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-11-27T01:53:26Z",
    "title_canon_sha256": "ad1c1c16fb1871ce2611efa9194a05af7e4d4d6660769fe85729b2bde0662726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17988",
    "kind": "arxiv",
    "version": 1
  }
}