Pith Number

pith:NLA2FM6P

pith:2018:NLA2FM6PLDH2TBOPN3WH3CGBRR

not attested not anchored not stored refs pending

Combinatorial invariants of metric filtrations and automorphisms; the universal adic graph

A.Vershik, P.Zatitskiy

arxiv:1812.07841 v1 · 2018-12-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NLA2FM6PLDH2TBOPN3WH3CGBRR}

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	2026-05-17T23:57:55.805462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac1a2b3cf58cfa985cf6eec7d88c18c445265109aaea631dfbd4191c7c2aa67

Aliases

arxiv: 1812.07841 · arxiv_version: 1812.07841v1 · doi: 10.48550/arxiv.1812.07841 · pith_short_12: NLA2FM6PLDH2 · pith_short_16: NLA2FM6PLDH2TBOP · pith_short_8: NLA2FM6P

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/NLA2FM6PLDH2TBOPN3WH3CGBRR \
  | 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: 6ac1a2b3cf58cfa985cf6eec7d88c18c445265109aaea631dfbd4191c7c2aa67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e75b2b1ca9be1a30956c338cf16c0440d8b877f2676b834501c072b4692b269b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-19T09:40:29Z",
    "title_canon_sha256": "e1ab9bd0195804c8dfb36f56787bcdd821b6cf6ae3359c80112990e0e98c804f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07841",
    "kind": "arxiv",
    "version": 1
  }
}