Pith Number

pith:COVU6C4O

pith:2014:COVU6C4ORYPHANYOBVAAPLIKR2

not attested not anchored not stored refs pending

Finite Chains inside Thin Subsets of ${\Bbb R}^d$

Alex Iosevich, Krystal Taylor, Mike Bennett

arxiv:1409.2581 v2 · 2014-09-06 · math.CA · math.CO · 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{COVU6C4ORYPHANYOBVAAPLIKR2}

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	2026-05-18T01:11:33.755203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13ab4f0b8e8e1e70370e0d4007ad0a8e8663c2744ba09bc23c8119c37fbee780

Aliases

arxiv: 1409.2581 · arxiv_version: 1409.2581v2 · doi: 10.48550/arxiv.1409.2581 · pith_short_12: COVU6C4ORYPH · pith_short_16: COVU6C4ORYPHANYO · pith_short_8: COVU6C4O

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/COVU6C4ORYPHANYOBVAAPLIKR2 \
  | 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: 13ab4f0b8e8e1e70370e0d4007ad0a8e8663c2744ba09bc23c8119c37fbee780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28c3e27ce5c440ef1c64605e7db986344853ee14592b3e57b3fac98b19f1fd72",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-09-06T18:23:54Z",
    "title_canon_sha256": "bf279fcef000d44b1c3eeb3f98c81a834fb8757a65d8ab831118b5ddef625572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2581",
    "kind": "arxiv",
    "version": 2
  }
}