Pith Number

pith:NBQTBT2U

pith:2014:NBQTBT2UQ34MDTBJDGAJ2BXF6L

not attested not anchored not stored refs pending

On the variational behaviour of functions with positive steepest descent rate

Amos Uderzo

arxiv:1410.2484 v1 · 2014-10-09 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBQTBT2UQ34MDTBJDGAJ2BXF6L}

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	2026-05-18T02:40:46.302357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

686130cf5486f8c1cc2919809d06e5f2e29779786b482b328ad7eae6f196f18a

Aliases

arxiv: 1410.2484 · arxiv_version: 1410.2484v1 · doi: 10.48550/arxiv.1410.2484 · pith_short_12: NBQTBT2UQ34M · pith_short_16: NBQTBT2UQ34MDTBJ · pith_short_8: NBQTBT2U

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/NBQTBT2UQ34MDTBJDGAJ2BXF6L \
  | 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: 686130cf5486f8c1cc2919809d06e5f2e29779786b482b328ad7eae6f196f18a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96c3a3414bc1107d0aba5fc7878e7fa1914b89112715b405e231117d96ace435",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-10-09T14:25:17Z",
    "title_canon_sha256": "eb5cdf1362402e267199a797ee14d6a1b3ed7308432478f9072cf6a45db85d7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2484",
    "kind": "arxiv",
    "version": 1
  }
}