Pith Number

pith:NIJVSTP6

pith:2015:NIJVSTP6HTGQREQBX3VSVVTZI2

not attested not anchored not stored refs pending

On Usual, Virtual and Welded knotted objects up to homotopy

Benjamin Audoux, Emmanuel Wagner, Jean-Baptiste Meilhan, Paolo Bellingeri

arxiv:1507.00202 v3 · 2015-07-01 · 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{NIJVSTP6HTGQREQBX3VSVVTZI2}

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	2026-05-18T00:29:21.410186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a13594dfe3ccd089201beeb2ad67946a27153b8e651fbdfc892d790c5635db7

Aliases

arxiv: 1507.00202 · arxiv_version: 1507.00202v3 · doi: 10.48550/arxiv.1507.00202 · pith_short_12: NIJVSTP6HTGQ · pith_short_16: NIJVSTP6HTGQREQB · pith_short_8: NIJVSTP6

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/NIJVSTP6HTGQREQBX3VSVVTZI2 \
  | 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: 6a13594dfe3ccd089201beeb2ad67946a27153b8e651fbdfc892d790c5635db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d93e1e25d30231de5bb5d5e6961ab76ef572ccf09055e2b40f9515be0f016ff5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-01T12:20:18Z",
    "title_canon_sha256": "31f46798f6ab00607e0175aef2e86dcf432c3a334fa7edb26ea969de94e78d87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00202",
    "kind": "arxiv",
    "version": 3
  }
}