Pith Number

pith:T37LX6JV

pith:2015:T37LX6JVYL2W4FCYTSK5CF7QG7

not attested not anchored not stored refs pending

The warping matrix of a knot diagram

Ayaka Shimizu

arxiv:1508.03425 v1 · 2015-08-14 · 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{T37LX6JVYL2W4FCYTSK5CF7QG7}

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	2026-05-18T01:35:17.867933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9efebbf935c2f56e14589c95d117f037e03a4cc2ebdcd4e3c410b18e9fb83b76

Aliases

arxiv: 1508.03425 · arxiv_version: 1508.03425v1 · doi: 10.48550/arxiv.1508.03425 · pith_short_12: T37LX6JVYL2W · pith_short_16: T37LX6JVYL2W4FCY · pith_short_8: T37LX6JV

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/T37LX6JVYL2W4FCYTSK5CF7QG7 \
  | 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: 9efebbf935c2f56e14589c95d117f037e03a4cc2ebdcd4e3c410b18e9fb83b76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c504d4a804bb7d8b0e173f76bc6fa4146c4033cee275da8a75fec17ece3e69f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-14T06:23:23Z",
    "title_canon_sha256": "a7b7e449226f09ff216f0e801a1473e373242ef896709300deb0c34f800ae4f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03425",
    "kind": "arxiv",
    "version": 1
  }
}