Pith Number

pith:YYAJ2SCT

pith:2019:YYAJ2SCT3IOQWM6ZGFI73QPX7T

not attested not anchored not stored refs pending

A non-commutative differential module approach to Alexander modules

Aristides Kontogeorgis, Panagiotis Paramantzoglou

arxiv:1904.06665 v1 · 2019-04-14 · math.AG · math.AT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYAJ2SCT3IOQWM6ZGFI73QPX7T}

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	2026-05-17T23:48:36.591247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6009d4853da1d0b33d93151fdc1f7fcfc1bfc94db7058390fd0147abddcb8a6

Aliases

arxiv: 1904.06665 · arxiv_version: 1904.06665v1 · doi: 10.48550/arxiv.1904.06665 · pith_short_12: YYAJ2SCT3IOQ · pith_short_16: YYAJ2SCT3IOQWM6Z · pith_short_8: YYAJ2SCT

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/YYAJ2SCT3IOQWM6ZGFI73QPX7T \
  | 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: c6009d4853da1d0b33d93151fdc1f7fcfc1bfc94db7058390fd0147abddcb8a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad4e84b6a5f8085c308298297699561ef908d8795145273a45d171075e855cd",
    "cross_cats_sorted": [
      "math.AT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-04-14T09:39:38Z",
    "title_canon_sha256": "94459a95920d4f458d5ae2dc95465d8efd8cc2c7d566cbc58afe0b9421ae0f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06665",
    "kind": "arxiv",
    "version": 1
  }
}