Pith Number

pith:YITV6DZE

pith:2014:YITV6DZEU3RKA6DCM3YJ5IWLWB

not attested not anchored not stored refs pending

Unsolved Problems in Virtual Knot Theory and Combinatorial Knot Theory

Denis P. Ilyutko, Louis H. Kauffman, Roger Fenn, Vassily O. Manturov

arxiv:1409.2823 v1 · 2014-09-09 · math.GT · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YITV6DZEU3RKA6DCM3YJ5IWLWB}

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	2026-05-18T02:43:09.736122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2275f0f24a6e2a0786266f09ea2cbb06286cca160ff3943916c8b48a8cb512f

Aliases

arxiv: 1409.2823 · arxiv_version: 1409.2823v1 · doi: 10.48550/arxiv.1409.2823 · pith_short_12: YITV6DZEU3RK · pith_short_16: YITV6DZEU3RKA6DC · pith_short_8: YITV6DZE

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/YITV6DZEU3RKA6DCM3YJ5IWLWB \
  | 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: c2275f0f24a6e2a0786266f09ea2cbb06286cca160ff3943916c8b48a8cb512f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac694c7230cc9efc9b36310c46427e5648dd268da71524ca2b3ae37b0667494c",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-09T17:39:15Z",
    "title_canon_sha256": "2478e1b039dfa645fe7caf34e827d35f650cb547980ca1cd331af81141608844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2823",
    "kind": "arxiv",
    "version": 1
  }
}