Pith Number

pith:R3BJYJL6

pith:2016:R3BJYJL65ZVQOAKB357J5J3LSJ

not attested not anchored not stored refs pending

Summability Condition and Rigidity for Finite Type Maps

Matthieu Astorg

arxiv:1602.05172 v2 · 2016-02-16 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3BJYJL65ZVQOAKB357J5J3LSJ}

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	2026-05-18T00:44:09.809384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ec29c257eee6b070141df7e9ea76b924cf0be94c478c83cf6869a951be5f408

Aliases

arxiv: 1602.05172 · arxiv_version: 1602.05172v2 · doi: 10.48550/arxiv.1602.05172 · pith_short_12: R3BJYJL65ZVQ · pith_short_16: R3BJYJL65ZVQOAKB · pith_short_8: R3BJYJL6

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/R3BJYJL65ZVQOAKB357J5J3LSJ \
  | 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: 8ec29c257eee6b070141df7e9ea76b924cf0be94c478c83cf6869a951be5f408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7c75627c63569aacd81f49bd76060f74a0b406e4b3f3c6960b9924190c85080",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-02-16T20:34:28Z",
    "title_canon_sha256": "97b67e7f4269724a240857bd4df790d6296ad94871731e835ba0842508478da2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05172",
    "kind": "arxiv",
    "version": 2
  }
}