Pith Number

pith:ZL22ORHY

pith:2019:ZL22ORHYFIOBLM3XC5GBHXDLIJ

not attested not anchored not stored refs pending

On weakening tightness to weak tightness

Angelo Bella, Nathan Carlson

arxiv:1901.04887 v1 · 2019-01-15 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZL22ORHYFIOBLM3XC5GBHXDLIJ}

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	2026-05-17T23:56:21.409800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf5a744f82a1c15b377174c13dc6b424abfbfc28b1e8ae87e2df75e59a2a29b

Aliases

arxiv: 1901.04887 · arxiv_version: 1901.04887v1 · doi: 10.48550/arxiv.1901.04887 · pith_short_12: ZL22ORHYFIOB · pith_short_16: ZL22ORHYFIOBLM3X · pith_short_8: ZL22ORHY

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/ZL22ORHYFIOBLM3XC5GBHXDLIJ \
  | 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: caf5a744f82a1c15b377174c13dc6b424abfbfc28b1e8ae87e2df75e59a2a29b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da392717144c12b2ac1be3229ee54aeac02c0e08c34fa8f7fc552370e9acbf38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-01-15T15:47:52Z",
    "title_canon_sha256": "eb2ee702c53582fd7a2317147e7f003858b7d398c8337e48e0ff50a40944f49c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04887",
    "kind": "arxiv",
    "version": 1
  }
}