Pith Number

pith:6T53P7FI

pith:2015:6T53P7FINHRPWEHFWPBI275MYQ

not attested not anchored not stored refs pending

Representing knots by filling Dehn spheres

\'Alvaro Lozano Rojo, Rub\'en Vigara Benito

arxiv:1508.06295 v1 · 2015-08-25 · 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{6T53P7FINHRPWEHFWPBI275MYQ}

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	2026-05-18T01:34:05.031969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4fbb7fca869e2fb10e5b3c28d7facc42b34a167f6098e7ef162d9da6c1e290e

Aliases

arxiv: 1508.06295 · arxiv_version: 1508.06295v1 · doi: 10.48550/arxiv.1508.06295 · pith_short_12: 6T53P7FINHRP · pith_short_16: 6T53P7FINHRPWEHF · pith_short_8: 6T53P7FI

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/6T53P7FINHRPWEHFWPBI275MYQ \
  | 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: f4fbb7fca869e2fb10e5b3c28d7facc42b34a167f6098e7ef162d9da6c1e290e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3b9689ec0da3fef93d794118e2dc108c32ef1873555d8ca18fc95b29c9b5c8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-25T20:25:25Z",
    "title_canon_sha256": "78d0b3982a9551067b4528faa9d56289af0f204e789b3ceae8d256de286ab7d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06295",
    "kind": "arxiv",
    "version": 1
  }
}