Pith Number

pith:XT37DFQW

pith:2017:XT37DFQWPVEBWMVTUK434J6YWU

not attested not anchored not stored refs pending

On Path-Complete Lyapunov Functions: Geometry and Comparison

David Angeli, Matthew Philippe, Nikolaos Athanasopoulos, Rapha\"el M. Jungers

arxiv:1712.00381 v1 · 2017-12-01 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XT37DFQWPVEBWMVTUK434J6YWU}

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	2026-05-18T00:29:06.375002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf7f196167d481b32b3a2b9be27d8b533510d983c9a4b5fa897a1f2953d77d8

Aliases

arxiv: 1712.00381 · arxiv_version: 1712.00381v1 · doi: 10.48550/arxiv.1712.00381 · pith_short_12: XT37DFQWPVEB · pith_short_16: XT37DFQWPVEBWMVT · pith_short_8: XT37DFQW

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/XT37DFQWPVEBWMVTUK434J6YWU \
  | 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: bcf7f196167d481b32b3a2b9be27d8b533510d983c9a4b5fa897a1f2953d77d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0449886bfeb577fccff2cbf0b2b6e7be2a45af1021dadb94b848edee31d3f321",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-01T15:58:07Z",
    "title_canon_sha256": "d86adcb221da793171c526f925b75d92ac2c443e193ce95300308a1c116d1532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00381",
    "kind": "arxiv",
    "version": 1
  }
}