Pith Number

pith:U2F6Y4AS

pith:2016:U2F6Y4ASP77NK2IT2CKEBXHQEN

not attested not anchored not stored refs pending

Additive invariants for knots, links and graphs in 3-manifolds

Maggy Tomova, Scott A. Taylor

arxiv:1606.03408 v2 · 2016-06-10 · 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{U2F6Y4ASP77NK2IT2CKEBXHQEN}

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	2026-05-18T00:04:17.969411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a68bec70127ffed56913d09440dcf0235c84c7aef5e65fb55a2a8b94f7248b51

Aliases

arxiv: 1606.03408 · arxiv_version: 1606.03408v2 · doi: 10.48550/arxiv.1606.03408 · pith_short_12: U2F6Y4ASP77N · pith_short_16: U2F6Y4ASP77NK2IT · pith_short_8: U2F6Y4AS

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/U2F6Y4ASP77NK2IT2CKEBXHQEN \
  | 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: a68bec70127ffed56913d09440dcf0235c84c7aef5e65fb55a2a8b94f7248b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "398396a0511b9d483e4ea502c1ff93ae065bb2990e17b228cd5d23dc5a09554b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-06-10T17:49:27Z",
    "title_canon_sha256": "44dcfa82900917b2c9da7b51c1d5e8d23868adae717fd4e5337af5199ec20804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03408",
    "kind": "arxiv",
    "version": 2
  }
}