Pith Number

pith:J2RQKMJ6

pith:2015:J2RQKMJ6DZRCOAEZM26PSP2JNQ

not attested not anchored not stored refs pending

Volume bounds for weaving knots

Abhijit Champanerkar, Ilya Kofman, Jessica S. Purcell

arxiv:1506.04139 v2 · 2015-06-10 · 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{J2RQKMJ6DZRCOAEZM26PSP2JNQ}

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	2026-05-18T00:54:20.799921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ea305313e1e6227009966bcf93f496c165c6f7dec591756ffd4510986f99b3c

Aliases

arxiv: 1506.04139 · arxiv_version: 1506.04139v2 · doi: 10.48550/arxiv.1506.04139 · pith_short_12: J2RQKMJ6DZRC · pith_short_16: J2RQKMJ6DZRCOAEZ · pith_short_8: J2RQKMJ6

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/J2RQKMJ6DZRCOAEZM26PSP2JNQ \
  | 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: 4ea305313e1e6227009966bcf93f496c165c6f7dec591756ffd4510986f99b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cce3032abe262ec972db41008b9b754f1173de4195fdce5583135e2dbb21a41f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-10T20:06:25Z",
    "title_canon_sha256": "ceef81cc7476fa13441db5516b4b4c0e924572550c06ce9060b336c181ed0869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04139",
    "kind": "arxiv",
    "version": 2
  }
}