Pith Number

pith:TRKB5TMH

pith:2016:TRKB5TMHKVAAFN62H3OSWOUFEA

not attested not anchored not stored refs pending

Lonely points in $\omega^*$

Jonathan L. Verner

arxiv:1607.06270 v1 · 2016-07-21 · 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{TRKB5TMHKVAAFN62H3OSWOUFEA}

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	2026-05-18T01:10:42.118285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c541ecd87554002b7da3edd2b3a85202cd163c105e13c9c45e9d36785f40f4a

Aliases

arxiv: 1607.06270 · arxiv_version: 1607.06270v1 · doi: 10.48550/arxiv.1607.06270 · pith_short_12: TRKB5TMHKVAA · pith_short_16: TRKB5TMHKVAAFN62 · pith_short_8: TRKB5TMH

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/TRKB5TMHKVAAFN62H3OSWOUFEA \
  | 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: 9c541ecd87554002b7da3edd2b3a85202cd163c105e13c9c45e9d36785f40f4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b527474b16a1adec17cf758109f8dff8524243cbb8c152d519292c1ce9894fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-07-21T11:21:28Z",
    "title_canon_sha256": "9950d4673c064ab1651fddeef39b733e2c782479ec444697db34d16ad8e7b711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06270",
    "kind": "arxiv",
    "version": 1
  }
}