Pith Number

pith:HHHEMQKA

pith:2017:HHHEMQKAF5Z3PNSSXBNDPHWT4N

not attested not anchored not stored refs pending

Translation invariant valuations on quasi-concave functions

Andrea Colesanti, Lukas Parapatits, Nico Lombardi

arxiv:1703.06867 v1 · 2017-03-20 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHHEMQKAF5Z3PNSSXBNDPHWT4N}

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	2026-05-18T00:48:21.500858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39ce4641402f73b7b652b85a379ed3e366eece35ce7832379f04e783dd1df219

Aliases

arxiv: 1703.06867 · arxiv_version: 1703.06867v1 · doi: 10.48550/arxiv.1703.06867 · pith_short_12: HHHEMQKAF5Z3 · pith_short_16: HHHEMQKAF5Z3PNSS · pith_short_8: HHHEMQKA

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/HHHEMQKAF5Z3PNSSXBNDPHWT4N \
  | 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: 39ce4641402f73b7b652b85a379ed3e366eece35ce7832379f04e783dd1df219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c48f8d8ede8180f6703716282443a9012e8e969443cc3011eddff209dd10271e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-03-20T17:46:30Z",
    "title_canon_sha256": "c1cf0d123d31127ad92671474ea4950d09cf2e8fddc35e8a7969b43cd279503f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06867",
    "kind": "arxiv",
    "version": 1
  }
}