Pith Number

pith:ANT7TOMC

pith:2016:ANT7TOMCCKEHELVEARDYJ2566T

not attested not anchored not stored refs pending

Alexander and writhe polynomials for virtual knots

Blake Mellor

arxiv:1601.07153 v1 · 2016-01-26 · 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{ANT7TOMCCKEHELVEARDYJ2566T}

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	2026-05-18T00:08:24.115042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0367f9b9821288722ea4044784ebbef4cfee67bf3215bd1043c9329ab1d93839

Aliases

arxiv: 1601.07153 · arxiv_version: 1601.07153v1 · doi: 10.48550/arxiv.1601.07153 · pith_short_12: ANT7TOMCCKEH · pith_short_16: ANT7TOMCCKEHELVE · pith_short_8: ANT7TOMC

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/ANT7TOMCCKEHELVEARDYJ2566T \
  | 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: 0367f9b9821288722ea4044784ebbef4cfee67bf3215bd1043c9329ab1d93839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6c265d43969c913d8f05784cfc1aa346e9a330d565a8856c23fcf368e6e7224",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-01-26T20:27:31Z",
    "title_canon_sha256": "a607b9c15b6d17decaa336b974a14c188c21991bb59cd3399c52bb88f905fc70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07153",
    "kind": "arxiv",
    "version": 1
  }
}