Pith Number

pith:WHR7LDAS

pith:2019:WHR7LDASBT65PTMFC7H4IEIVZV

not attested not anchored not stored refs pending

Virtual Parity Alexander Polynomial

Aaron Kaestner, Heather A. Dye

arxiv:1907.08709 v1 · 2019-07-19 · math.GT · 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{WHR7LDASBT65PTMFC7H4IEIVZV}

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	2026-05-17T23:40:05.630957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e3f58c120cfdd7cd8517cfc41115cd79203edc2fdab55eeb5f679ce0e44fc7

Aliases

arxiv: 1907.08709 · arxiv_version: 1907.08709v1 · doi: 10.48550/arxiv.1907.08709 · pith_short_12: WHR7LDASBT65 · pith_short_16: WHR7LDASBT65PTMF · pith_short_8: WHR7LDAS

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/WHR7LDASBT65PTMFC7H4IEIVZV \
  | 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: b1e3f58c120cfdd7cd8517cfc41115cd79203edc2fdab55eeb5f679ce0e44fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d6f66d5e1223a1f0ae169a04e2bb829928cb457f202c3236c52f8068a06ca8",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-07-19T22:14:39Z",
    "title_canon_sha256": "d22ba9849122993abd7ea1345857a240787421203d16d270ed1a77b8f43fe5b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08709",
    "kind": "arxiv",
    "version": 1
  }
}