Pith Number

pith:GTTNPLZA

pith:2026:GTTNPLZATFVZBALYN562Z5YN4V

not attested not anchored not stored refs pending

Fox's Trapezoidal Conjecture for Four-Strand Turk's Head Knots and Links

Suman Saurabh

arxiv:2606.15256 v2 · 2026-06-13 · 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{GTTNPLZATFVZBALYN562Z5YN4V}

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	2026-07-08T01:19:14.598813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e6d7af20996b9081786f7dacf70de54a46b313d92ea02b876ac71356112af2

Aliases

arxiv: 2606.15256 · arxiv_version: 2606.15256v2 · doi: 10.48550/arxiv.2606.15256 · pith_short_12: GTTNPLZATFVZ · pith_short_16: GTTNPLZATFVZBALY · pith_short_8: GTTNPLZA

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/GTTNPLZATFVZBALYN562Z5YN4V \
  | 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: 34e6d7af20996b9081786f7dacf70de54a46b313d92ea02b876ac71356112af2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c3e932b922708d2f05f3e428a408c3031374d0a204166cf44893ca69edc1121",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-13T11:22:51Z",
    "title_canon_sha256": "a206c19920415bc2999889687a1c1acfd17cca4cba6c8f3c786e605a0ea47f8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.15256",
    "kind": "arxiv",
    "version": 2
  }
}