Pith Number

pith:M75BIFAW

pith:2025:M75BIFAWVJCNWFFGWC3FUBYLMM

not attested not anchored not stored refs pending

Smoothness and stability in the Alt-Phillips problem

Giorgio Tortone, Matteo Carducci

arxiv:2507.10336 v1 · 2025-07-14 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M75BIFAWVJCNWFFGWC3FUBYLMM}

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	2026-07-05T11:36:49.735992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67fa141416aa44db14a6b0b65a070b63354aef5884ed9a8638a82e9a4b0623f1

Aliases

arxiv: 2507.10336 · arxiv_version: 2507.10336v1 · doi: 10.48550/arxiv.2507.10336 · pith_short_12: M75BIFAWVJCN · pith_short_16: M75BIFAWVJCNWFFG · pith_short_8: M75BIFAW

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/M75BIFAWVJCNWFFGWC3FUBYLMM \
  | 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: 67fa141416aa44db14a6b0b65a070b63354aef5884ed9a8638a82e9a4b0623f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "563cc1e57fe67e336360513b35b4a7ff6860e92f5f1af74537175d59b492d518",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-14T14:42:59Z",
    "title_canon_sha256": "d5602babb24b4276276b6aeebec1474ef5b21cec33d2b6598ae6870275c53116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10336",
    "kind": "arxiv",
    "version": 1
  }
}