Pith Number

pith:7HMCYMJZ

pith:2015:7HMCYMJZRCFQLA6ONZP2ZISNYW

not attested not anchored not stored refs pending

Arcs in $\Z^2_{2p}$

Lucjan Szymaszkiewicz, Zofia St\k{e}pie\'n

arxiv:1512.02175 v2 · 2015-12-07 · 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{7HMCYMJZRCFQLA6ONZP2ZISNYW}

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	2026-05-18T00:44:46.105382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9d82c3139888b0583ce6e5faca24dc582bbf0f36bd16af3c4d9b853f2788205

Aliases

arxiv: 1512.02175 · arxiv_version: 1512.02175v2 · doi: 10.48550/arxiv.1512.02175 · pith_short_12: 7HMCYMJZRCFQ · pith_short_16: 7HMCYMJZRCFQLA6O · pith_short_8: 7HMCYMJZ

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/7HMCYMJZRCFQLA6ONZP2ZISNYW \
  | 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: f9d82c3139888b0583ce6e5faca24dc582bbf0f36bd16af3c4d9b853f2788205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cd8af503f05f16bfaba2d939f1931c74d283196fc3298600166a3fb0d293056",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-07T19:16:58Z",
    "title_canon_sha256": "beea19a913749d7d5edec12409aa4c81cda6fc952b5938a8c15b3bc797da4641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02175",
    "kind": "arxiv",
    "version": 2
  }
}