Pith Number

pith:YWTYNN24

pith:2013:YWTYNN24JX6HYTBWFVPPU365XA

not attested not anchored not stored refs pending

The Khovanov homology of 3-strand pretzels, revisited

Andrew Manion

arxiv:1303.3303 v2 · 2013-03-13 · 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{YWTYNN24JX6HYTBWFVPPU365XA}

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	2026-05-17T23:59:44.789262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5a786b75c4dfc7c4c362d5efa6fddb8011eecf22d508ad5b5b10f98c6ee7b3c

Aliases

arxiv: 1303.3303 · arxiv_version: 1303.3303v2 · doi: 10.48550/arxiv.1303.3303 · pith_short_12: YWTYNN24JX6H · pith_short_16: YWTYNN24JX6HYTBW · pith_short_8: YWTYNN24

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/YWTYNN24JX6HYTBWFVPPU365XA \
  | 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: c5a786b75c4dfc7c4c362d5efa6fddb8011eecf22d508ad5b5b10f98c6ee7b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98fa0a3792daab7a3f3492008ba5c3f19805e21e56e0c485998f6a9614fc79ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-13T22:12:49Z",
    "title_canon_sha256": "257e4e9fe6de95147c08b739482b16c3756723d7193c0a5ec50e6ea295fdec54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3303",
    "kind": "arxiv",
    "version": 2
  }
}