Pith Number

pith:APHNT3R5

pith:2015:APHNT3R5SGNC73UQNLVGWLS4JF

not attested not anchored not stored refs pending

Discrete curvature and abelian groups

Bo'az Klartag, Gady Kozma, Peter Ralli, Prasad Tetali

arxiv:1501.00516 v4 · 2015-01-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APHNT3R5SGNC73UQNLVGWLS4JF}

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	2026-05-18T01:29:29.627725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03ced9ee3d919a2fee906aea6b2e5c494c2ea7ebffa4eb3eee3461a9d10279bc

Aliases

arxiv: 1501.00516 · arxiv_version: 1501.00516v4 · doi: 10.48550/arxiv.1501.00516 · pith_short_12: APHNT3R5SGNC · pith_short_16: APHNT3R5SGNC73UQ · pith_short_8: APHNT3R5

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/APHNT3R5SGNC73UQNLVGWLS4JF \
  | 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: 03ced9ee3d919a2fee906aea6b2e5c494c2ea7ebffa4eb3eee3461a9d10279bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5141e21e9925e7dad7627aca7b7fa58060ff546e6e97eb70d3fd68721998f079",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-03T00:20:52Z",
    "title_canon_sha256": "4c17b239a1326d510f09e6c595db12f9a36fe29b62537686b315c00c0b412a77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00516",
    "kind": "arxiv",
    "version": 4
  }
}