Pith Number

pith:SHHWM53Y

pith:2007:SHHWM53YFDNXH4PEH5I77SF6VK

not attested not anchored not stored refs pending

Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions

Jian-Guo Liu, Philippe G. LeFloch

arxiv:0711.0406 v1 · 2007-11-02 · math.NA · cs.NA · 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{SHHWM53YFDNXH4PEH5I77SF6VK}

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	2026-06-03T22:06:03.074844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91cf66777828db73f1e43f51ffc8beaab00f1416e8456238969526ac379d5435

Aliases

arxiv: 0711.0406 · arxiv_version: 0711.0406v1 · doi: 10.48550/arxiv.0711.0406 · pith_short_12: SHHWM53YFDNX · pith_short_16: SHHWM53YFDNXH4PE · pith_short_8: SHHWM53Y

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/SHHWM53YFDNXH4PEH5I77SF6VK \
  | 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: 91cf66777828db73f1e43f51ffc8beaab00f1416e8456238969526ac379d5435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9565e9d30bdb77dd5312894d8926a7850ca61159eb97c7661b2f6969f1f3c368",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2007-11-02T22:53:49Z",
    "title_canon_sha256": "63af8fba07602a0b9513b3fd6b8fd1f5e7cf698ef7e78dd14321a91b16415e4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0406",
    "kind": "arxiv",
    "version": 1
  }
}