Pith Number

pith:GNRH25AS

pith:2015:GNRH25ASCCORFZAVVBLUYXDQGB

not attested not anchored not stored refs pending

Lagrangian inclusion with an open Whitney umbrella is rationally convex

Alexandre Sukhov, Rasul Shafikov

arxiv:1502.05586 v1 · 2015-02-19 · 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{GNRH25ASCCORFZAVVBLUYXDQGB}

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	2026-05-18T02:26:46.184007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33627d7412109d12e415a8574c5c703069079f58525fbb7e797a1027d45fbd87

Aliases

arxiv: 1502.05586 · arxiv_version: 1502.05586v1 · doi: 10.48550/arxiv.1502.05586 · pith_short_12: GNRH25ASCCOR · pith_short_16: GNRH25ASCCORFZAV · pith_short_8: GNRH25AS

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/GNRH25ASCCORFZAVVBLUYXDQGB \
  | 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: 33627d7412109d12e415a8574c5c703069079f58525fbb7e797a1027d45fbd87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "300ca9f95be476e3d0f28435f3c5e3b77e89b0d188dca2be799afda8c1348611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-02-19T14:48:12Z",
    "title_canon_sha256": "468e750b1f7527a9df9326e3180e9c50fcf86553e28b280b28ed9d8850e08d33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05586",
    "kind": "arxiv",
    "version": 1
  }
}