Pith Number

pith:TRFLNW6Z

pith:2012:TRFLNW6ZFRKDM5RSRSBED62QB2

not attested not anchored not stored refs pending

Whitney tower concordance of classical links

James Conant, Peter Teichner, Rob Schneiderman

arxiv:1202.3463 v2 · 2012-02-15 · 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{TRFLNW6ZFRKDM5RSRSBED62QB2}

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	2026-05-18T02:38:17.839880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c4ab6dbd92c543676328c8241fb500e8eb858118b055b11e156c8d70c2a7898

Aliases

arxiv: 1202.3463 · arxiv_version: 1202.3463v2 · doi: 10.48550/arxiv.1202.3463 · pith_short_12: TRFLNW6ZFRKD · pith_short_16: TRFLNW6ZFRKDM5RS · pith_short_8: TRFLNW6Z

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/TRFLNW6ZFRKDM5RSRSBED62QB2 \
  | 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: 9c4ab6dbd92c543676328c8241fb500e8eb858118b055b11e156c8d70c2a7898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "156de0636c811452d6f23d3c6b1989528a1d778c07381f4e4aeb19aef93f0022",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-02-15T22:16:50Z",
    "title_canon_sha256": "da3c03261a80a49f06c585ebafb0650d1fc4df2263ae70afd38728a9dc5073da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3463",
    "kind": "arxiv",
    "version": 2
  }
}