Pith Number

pith:UZ53TATW

pith:2013:UZ53TATWL2XCJXIF6G7YRXHYJ3

not attested not anchored not stored refs pending

Non-looseness of non-loose knots

Kenneth L. Baker, Sinem Onaran

arxiv:1312.5721 v1 · 2013-12-19 · math.SG · 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{UZ53TATWL2XCJXIF6G7YRXHYJ3}

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	2026-05-18T02:03:37.939897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a67bb982765eae24dd05f1bf88dcf84ef35858b0a01b22504967cc54fb46e6b4

Aliases

arxiv: 1312.5721 · arxiv_version: 1312.5721v1 · doi: 10.48550/arxiv.1312.5721 · pith_short_12: UZ53TATWL2XC · pith_short_16: UZ53TATWL2XCJXIF · pith_short_8: UZ53TATW

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/UZ53TATWL2XCJXIF6G7YRXHYJ3 \
  | 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: a67bb982765eae24dd05f1bf88dcf84ef35858b0a01b22504967cc54fb46e6b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa98e576b69cfa59ccfe46f1021f26c5a241602f9684def4973c9c593129c1e7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-12-19T20:14:08Z",
    "title_canon_sha256": "2797b3a311a83c79dae28f4636c6b1e5494b8ae30a34cc0b258984b8e10da2cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5721",
    "kind": "arxiv",
    "version": 1
  }
}