Pith Number

pith:AXFRT5B3

pith:2022:AXFRT5B3K3DMTYDMG2OJMJPUY2

not attested not anchored not stored refs pending

Rigidity of infinite inversive distance circle packings in the plane

Siqi Zhang, Xu Xu, Yanwen Luo

arxiv:2211.07464 v2 · 2022-11-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXFRT5B3K3DMTYDMG2OJMJPUY2}

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	2026-07-05T11:43:04.733715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05cb19f43b56c6c9e06c369c9625f4c6b4824a49a34b3fe25253c57dbbc8dbba

Aliases

arxiv: 2211.07464 · arxiv_version: 2211.07464v2 · doi: 10.48550/arxiv.2211.07464 · pith_short_12: AXFRT5B3K3DM · pith_short_16: AXFRT5B3K3DMTYDM · pith_short_8: AXFRT5B3

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/AXFRT5B3K3DMTYDMG2OJMJPUY2 \
  | 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: 05cb19f43b56c6c9e06c369c9625f4c6b4824a49a34b3fe25253c57dbbc8dbba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e68c2284de0829c4d0cdd63cabe434cffc7e80bacbf3c927924e8d2e1b2d4eb7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-11-14T15:45:40Z",
    "title_canon_sha256": "939fa606380f15a099d9f2578ebe9618c8a62b99f29f35169e9a2f350224b675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.07464",
    "kind": "arxiv",
    "version": 2
  }
}