Pith Number

pith:ZQ55YCFY

pith:2017:ZQ55YCFY4YHENBKSSOZB5Y7KBH

not attested not anchored not stored refs pending

Product cones in dense pairs

Pantelis E. Eleftheriou

arxiv:1708.03894 v1 · 2017-08-13 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQ55YCFY4YHENBKSSOZB5Y7KBH}

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	2026-05-18T00:38:07.593554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc3bdc08b8e60e46855293b21ee3ea09e9e6dcf0addb1bc674d8d3b350172122

Aliases

arxiv: 1708.03894 · arxiv_version: 1708.03894v1 · doi: 10.48550/arxiv.1708.03894 · pith_short_12: ZQ55YCFY4YHE · pith_short_16: ZQ55YCFY4YHENBKS · pith_short_8: ZQ55YCFY

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/ZQ55YCFY4YHENBKSSOZB5Y7KBH \
  | 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: cc3bdc08b8e60e46855293b21ee3ea09e9e6dcf0addb1bc674d8d3b350172122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f249a5de672018b3b53b5f7409e3024498cedb60d42b82d9e00704d5db0ef9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-08-13T12:14:41Z",
    "title_canon_sha256": "12351a8c158d9ad445eb7948a4a962e026b19d7d5665d7777d68478f9b2cf80a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03894",
    "kind": "arxiv",
    "version": 1
  }
}