Pith Number

pith:TK6W5TV6

pith:2018:TK6W5TV6IHL3HMTEJR63QB334M

not attested not anchored not stored refs pending

Spectra related to the length spectrum

Conrad Plaut

arxiv:1811.04145 v1 · 2018-11-09 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TK6W5TV6IHL3HMTEJR63QB334M}

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	2026-05-18T00:01:06.205226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abd6ecebe41d7b3b2644c7db8077be306dbb6fd06d520b8961401fdd097e6d3

Aliases

arxiv: 1811.04145 · arxiv_version: 1811.04145v1 · doi: 10.48550/arxiv.1811.04145 · pith_short_12: TK6W5TV6IHL3 · pith_short_16: TK6W5TV6IHL3HMTE · pith_short_8: TK6W5TV6

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/TK6W5TV6IHL3HMTEJR63QB334M \
  | 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: 9abd6ecebe41d7b3b2644c7db8077be306dbb6fd06d520b8961401fdd097e6d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da102c1e63e40060316046841569c5ea1d80b5bec2c5c64ddf93e446642f5a51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-11-09T21:49:46Z",
    "title_canon_sha256": "98b680c2c293cad3e12596b0c977cb87887c11eb38d9fa155842dcff7edfbea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04145",
    "kind": "arxiv",
    "version": 1
  }
}