Pith Number

pith:FIXRJII2

pith:2013:FIXRJII2XI43UODWPA3L4RHGMX

not attested not anchored not stored refs pending

A finite dimensional approach to Bramham's approximation theorem

Patrice Le Calvez

arxiv:1307.5278 v1 · 2013-07-19 · math.DS · 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{FIXRJII2XI43UODWPA3L4RHGMX}

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	2026-05-18T03:18:05.263978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a2f14a11aba39ba38767836be44e665f723d136c1c31ba59a6e8d5e9157efc9

Aliases

arxiv: 1307.5278 · arxiv_version: 1307.5278v1 · doi: 10.48550/arxiv.1307.5278 · pith_short_12: FIXRJII2XI43 · pith_short_16: FIXRJII2XI43UODW · pith_short_8: FIXRJII2

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/FIXRJII2XI43UODWPA3L4RHGMX \
  | 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: 2a2f14a11aba39ba38767836be44e665f723d136c1c31ba59a6e8d5e9157efc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ea7ada90db07f8542edb3f06c34d162aeea781827b11833cd4884b8cda01eb",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-19T16:50:58Z",
    "title_canon_sha256": "56d1d78762d5d5fcf76fb6759900f860115464befd4b7591e39cf064d3a2222c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5278",
    "kind": "arxiv",
    "version": 1
  }
}