Pith Number

pith:7CRMS72W

pith:2013:7CRMS72WJVNJHRHCJEM2VGBUER

not attested not anchored not stored refs pending

The AE Theorem and addition theorems for quasi-convex functions

F. Reese Harvey, H. Blaine Lawson Jr

arxiv:1309.1770 v3 · 2013-09-06 · math.AP · 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{7CRMS72WJVNJHRHCJEM2VGBUER}

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	2026-05-18T01:10:15.439598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8a2c97f564d5a93c4e24919aa98342477d4add94c0158852638210976d48200

Aliases

arxiv: 1309.1770 · arxiv_version: 1309.1770v3 · doi: 10.48550/arxiv.1309.1770 · pith_short_12: 7CRMS72WJVNJ · pith_short_16: 7CRMS72WJVNJHRHC · pith_short_8: 7CRMS72W

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/7CRMS72WJVNJHRHCJEM2VGBUER \
  | 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: f8a2c97f564d5a93c4e24919aa98342477d4add94c0158852638210976d48200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1c21c36da94633069d0d2b1319147e7a88032c4e601be3d91e7df48bfbc701c",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-06T20:16:09Z",
    "title_canon_sha256": "48e39946d284d3af8f59b101d751c9930f9bc1df0b84a45353cc95c64a64af0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1770",
    "kind": "arxiv",
    "version": 3
  }
}