Pith Number

pith:ATBSF72N

pith:2003:ATBSF72NRNDMN3OJCKA6JVEEE3

not attested not anchored not stored refs pending

A characterization of isometries of CAT(0)-space as maps preserving diagonal tube

Pavel Andreev

arxiv:math/0308096 v2 · 2003-08-11 · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATBSF72NRNDMN3OJCKA6JVEEE3}

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	2026-07-04T14:37:39.197922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c322ff4d8b46c6edc91281e4d48426cb44f1a7a44bdf8a62bb63a0644927de

Aliases

arxiv: math/0308096 · arxiv_version: math/0308096v2 · doi: 10.48550/arxiv.math/0308096 · pith_short_12: ATBSF72NRNDM · pith_short_16: ATBSF72NRNDMN3OJ · pith_short_8: ATBSF72N

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/ATBSF72NRNDMN3OJCKA6JVEEE3 \
  | 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: 04c322ff4d8b46c6edc91281e4d48426cb44f1a7a44bdf8a62bb63a0644927de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d75dd670afdfd3c96372a2bace43f7dbc809e72066f37f7dbaad7da157c7208c",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-08-11T12:00:55Z",
    "title_canon_sha256": "b14cb12b62fb779e652bea387d0de02837b391c0cf598253dccd8259feb493ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0308096",
    "kind": "arxiv",
    "version": 2
  }
}