Pith Number

pith:W6RMB2CP

pith:2013:W6RMB2CP7OWRFISF5PV72EL6BM

not attested not anchored not stored refs pending

Notes on the differentiation of quasi-convex functions

F. Reese Harvey, H. Blaine Lawson Jr

arxiv:1309.1772 v3 · 2013-09-06 · math.AP · math.CA · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6RMB2CP7OWRFISF5PV72EL6BM}

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	2026-05-18T01:10:15.433851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7a2c0e84ffbad12a245ebebfd117e0b2f25448d0205b60f4990577f42e0ce2b

Aliases

arxiv: 1309.1772 · arxiv_version: 1309.1772v3 · doi: 10.48550/arxiv.1309.1772 · pith_short_12: W6RMB2CP7OWR · pith_short_16: W6RMB2CP7OWRFISF · pith_short_8: W6RMB2CP

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/W6RMB2CP7OWRFISF5PV72EL6BM \
  | 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: b7a2c0e84ffbad12a245ebebfd117e0b2f25448d0205b60f4990577f42e0ce2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95b1f4187a448faaa058e688f4f6ccb3bfa93c4a74e58bb81085ce1770ea5324",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-06T20:29:45Z",
    "title_canon_sha256": "ef828bbc97593e4f9a081212533c9b2a082595c022ca0054f45d75539f6734f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1772",
    "kind": "arxiv",
    "version": 3
  }
}