Pith Number

pith:27WSFVIO

pith:2010:27WSFVIONON2KJKI7EJAWFRD2I

not attested not anchored not stored refs pending

Twisted torsion invariants and link concordance

Jae Choon Cha, Stefan Friedl

arxiv:1001.0926 v2 · 2010-01-06 · 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{27WSFVIONON2KJKI7EJAWFRD2I}

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	2026-05-18T04:40:09.447959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7ed22d50e6b9ba52548f9120b1623d22baa814a1076c3d195e806a4ecba0405

Aliases

arxiv: 1001.0926 · arxiv_version: 1001.0926v2 · doi: 10.48550/arxiv.1001.0926 · pith_short_12: 27WSFVIONON2 · pith_short_16: 27WSFVIONON2KJKI · pith_short_8: 27WSFVIO

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/27WSFVIONON2KJKI7EJAWFRD2I \
  | 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: d7ed22d50e6b9ba52548f9120b1623d22baa814a1076c3d195e806a4ecba0405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c9f44f63858c0739a1357e5d08b6bd72d262ddf6cd58f8df03c8ef1ebe5e597",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-01-06T15:56:14Z",
    "title_canon_sha256": "6777f1b048ce3737e4a2fa87d2a3523285cbdcf4c5e064cdf8cca22e62b5d266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0926",
    "kind": "arxiv",
    "version": 2
  }
}