Pith Number

pith:XPEOVPYF

pith:2014:XPEOVPYFEXLFYBBGEE2O3ZJVUI

not attested not anchored not stored refs pending

Alexander invariants for virtual knots

Adam Gerlings, Andrew J. Nicas, Anne Isabel Gaudreau, Emily Dies, Eric Harper, Hans U. Boden

arxiv:1409.1459 v2 · 2014-09-04 · 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{XPEOVPYFEXLFYBBGEE2O3ZJVUI}

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	2026-05-18T02:16:51.163193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc8eabf0525d65c04262134ede535a23a17d94ba4fa307a4bc8312cb35102a4

Aliases

arxiv: 1409.1459 · arxiv_version: 1409.1459v2 · doi: 10.48550/arxiv.1409.1459 · pith_short_12: XPEOVPYFEXLF · pith_short_16: XPEOVPYFEXLFYBBG · pith_short_8: XPEOVPYF

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/XPEOVPYFEXLFYBBGEE2O3ZJVUI \
  | 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: bbc8eabf0525d65c04262134ede535a23a17d94ba4fa307a4bc8312cb35102a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7157df8cf11f099d9e70bda7a30ed22e554fb903af535f55f8884b45bfa6bd66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-04T15:02:40Z",
    "title_canon_sha256": "43625b5217c108e0eb2cdf306144631324ba29212c293166452d0b2167c3f9c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1459",
    "kind": "arxiv",
    "version": 2
  }
}