Pith Number

pith:UUWY54SE

pith:1998:UUWY54SEHBLRMTEMT2CO3POHRE

not attested not anchored not stored refs pending

On the asymptotic geometry of the hyperbolic plane

Alexander Shnirelman, Iosif Polterovich

arxiv:math/9806106 v1 · 1998-06-19 · 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{UUWY54SEHBLRMTEMT2CO3POHRE}

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	2026-07-04T14:40:42.005170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a52d8ef2443857164c8c9e84edbdc7893010e90400e1320bb0e4a06826568139

Aliases

arxiv: math/9806106 · arxiv_version: math/9806106v1 · doi: 10.48550/arxiv.math/9806106 · pith_short_12: UUWY54SEHBLR · pith_short_16: UUWY54SEHBLRMTEM · pith_short_8: UUWY54SE

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/UUWY54SEHBLRMTEMT2CO3POHRE \
  | 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: a52d8ef2443857164c8c9e84edbdc7893010e90400e1320bb0e4a06826568139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f50f234c1faa7ff887b57300cbc313ddbe09c7cb6a2474c976a90fd4ead72e24",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1998-06-19T15:05:31Z",
    "title_canon_sha256": "514cbd3ec0f75b5b98dc3e6544ae0c891b1554dc6c27203717311ab4f3981d4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9806106",
    "kind": "arxiv",
    "version": 1
  }
}