Pith Number

pith:PZMMM4YO

pith:2015:PZMMM4YOVVBW2B3YGECSJF66A3

not attested not anchored not stored refs pending

A definable, p-adic analogue of Kirszbraun's Theorem on extensions of Lipschitz maps

Florent Martin, Raf Cluckers

arxiv:1502.03036 v1 · 2015-02-10 · math.AG · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZMMM4YOVVBW2B3YGECSJF66A3}

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	2026-05-18T01:29:03.393712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e58c6730ead436d077831052497de06f076aa3f06747337c9aa2c008bbe4951

Aliases

arxiv: 1502.03036 · arxiv_version: 1502.03036v1 · doi: 10.48550/arxiv.1502.03036 · pith_short_12: PZMMM4YOVVBW · pith_short_16: PZMMM4YOVVBW2B3Y · pith_short_8: PZMMM4YO

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/PZMMM4YOVVBW2B3YGECSJF66A3 \
  | 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: 7e58c6730ead436d077831052497de06f076aa3f06747337c9aa2c008bbe4951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8ac6cddab3629957ee345302986e603a5e0b7a2ee9e714e002fe2ee8af1d554",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-10T18:49:23Z",
    "title_canon_sha256": "820cd894176fad80f99492be60fe66975c2787d8878da89895db486584b0b3d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03036",
    "kind": "arxiv",
    "version": 1
  }
}