Pith Number

pith:AEDM7JBE

pith:2009:AEDM7JBEOVBKUW63IFFX6I6LC4

not attested not anchored not stored refs pending

Classical and Virtual Pseudodiagram Theory and New Bounds on Unknotting Numbers and Genus

Allison Henrich, Jennifer Townsend, Noel MacNaughton, Oliver Pechenik, Sneha Narayan

arxiv:0908.1981 v2 · 2009-08-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AEDM7JBEOVBKUW63IFFX6I6LC4}

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	2026-05-18T04:12:55.151389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0106cfa4247542aa5bdb414b7f23cb173193a6aa1a6f839380c1f0641aeb7bef

Aliases

arxiv: 0908.1981 · arxiv_version: 0908.1981v2 · doi: 10.48550/arxiv.0908.1981 · pith_short_12: AEDM7JBEOVBK · pith_short_16: AEDM7JBEOVBKUW63 · pith_short_8: AEDM7JBE

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/AEDM7JBEOVBKUW63IFFX6I6LC4 \
  | 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: 0106cfa4247542aa5bdb414b7f23cb173193a6aa1a6f839380c1f0641aeb7bef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a92780e1c2748c0d8765b56fad7aa1412ad99b12c6ceb5f987e5273686b1936",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-08-14T14:58:24Z",
    "title_canon_sha256": "b59cce572951822195f2f36c4e6b6b59c6b9187584ab0cfb20f33a9dfc3c9f8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1981",
    "kind": "arxiv",
    "version": 2
  }
}