Pith Number

pith:X3X4R3JA

pith:2012:X3X4R3JAOIPXKOPB5ERUGVP46M

not attested not anchored not stored refs pending

On Quasi-inversions

David Kalaj, Gendi Wang, Matti Vuorinen

arxiv:1212.0721 v2 · 2012-12-04 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3X4R3JAOIPXKOPB5ERUGVP46M}

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	2026-05-18T01:24:15.012882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beefc8ed20721f7539e1e9234355fcf33d665ed84d21688b0dc4bcc555f610d5

Aliases

arxiv: 1212.0721 · arxiv_version: 1212.0721v2 · doi: 10.48550/arxiv.1212.0721 · pith_short_12: X3X4R3JAOIPX · pith_short_16: X3X4R3JAOIPXKOPB · pith_short_8: X3X4R3JA

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/X3X4R3JAOIPXKOPB5ERUGVP46M \
  | 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: beefc8ed20721f7539e1e9234355fcf33d665ed84d21688b0dc4bcc555f610d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e62f89ed3fb10765a22d2188a2f1ee09d0f9148cbe1e9346aaf6ca54b6dabb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-12-04T13:58:08Z",
    "title_canon_sha256": "a8678ef8324bf92fc74224ed763eaa2dba0672b93007257fe95f0bfd731b5a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0721",
    "kind": "arxiv",
    "version": 2
  }
}