Pith Number

pith:OIQCVFW3

pith:2001:OIQCVFW3JFKSLVZBCJDTPCSAIU

not attested not anchored not stored refs pending

Growth of maps, distortion in groups and symplectic geometry

Leonid Polterovich

arxiv:math/0111050 v2 · 2001-11-05 · math.DS · math.GR · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OIQCVFW3JFKSLVZBCJDTPCSAIU}

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	2026-05-18T01:38:29.780662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72202a96db495525d7211247378a40451b62dc2ecebef33d1c9c2908a56b1040

Aliases

arxiv: math/0111050 · arxiv_version: math/0111050v2 · doi: 10.48550/arxiv.math/0111050 · pith_short_12: OIQCVFW3JFKS · pith_short_16: OIQCVFW3JFKSLVZB · pith_short_8: OIQCVFW3

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/OIQCVFW3JFKSLVZBCJDTPCSAIU \
  | 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: 72202a96db495525d7211247378a40451b62dc2ecebef33d1c9c2908a56b1040

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f16697a192d0206aba72b4639465acf250689c29e634bbfb010f1d36c408217",
    "cross_cats_sorted": [
      "math.GR",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2001-11-05T17:28:47Z",
    "title_canon_sha256": "b70a67537676a6587696e609cc0edcdc65883139fa6cab7b181ef350a1f49b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111050",
    "kind": "arxiv",
    "version": 2
  }
}