Pith Number

pith:CTUQB5SI

pith:2003:CTUQB5SIOYNVPD27TTNR67DECA

not attested not anchored not stored refs pending

Geodesic Flow on the Diffeomorphism Group of the circle

Adrian Constantin, Boris Kolev

arxiv:math-ph/0305013 v1 · 2003-05-07 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTUQB5SIOYNVPD27TTNR67DECA}

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	2026-05-18T01:38:33.802837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e900f648761b578f5f9cdb1f7c641001be514b909322efd66a30a7a9973ccd

Aliases

arxiv: math-ph/0305013 · arxiv_version: math-ph/0305013v1 · doi: 10.48550/arxiv.math-ph/0305013 · pith_short_12: CTUQB5SIOYNV · pith_short_16: CTUQB5SIOYNVPD27 · pith_short_8: CTUQB5SI

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/CTUQB5SIOYNVPD27TTNR67DECA \
  | 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: 14e900f648761b578f5f9cdb1f7c641001be514b909322efd66a30a7a9973ccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9a86e17d5d1a9000ef631f86fb95ab3ac7de69d5600177f7b433c41eb030638",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-05-07T15:07:31Z",
    "title_canon_sha256": "99f17c00eecb3bf4b51ef4b60671a67b2a9dcbcd9a4742f27fdf9ba8ca9a3e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0305013",
    "kind": "arxiv",
    "version": 1
  }
}