Pith Number

pith:ED4DWMHN

pith:2012:ED4DWMHNDHYUPTPLKCWM42HTVU

not attested not anchored not stored refs pending

Concordance of links with identical Alexander invariants

Jae Choon Cha, Mark Powell, Stefan Friedl

arxiv:1212.2924 v1 · 2012-12-12 · 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{ED4DWMHNDHYUPTPLKCWM42HTVU}

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	2026-05-18T00:44:30.145029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20f83b30ed19f147cdeb50acce68f3ad268445e059076a7db98545eb4767554f

Aliases

arxiv: 1212.2924 · arxiv_version: 1212.2924v1 · doi: 10.48550/arxiv.1212.2924 · pith_short_12: ED4DWMHNDHYU · pith_short_16: ED4DWMHNDHYUPTPL · pith_short_8: ED4DWMHN

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/ED4DWMHNDHYUPTPLKCWM42HTVU \
  | 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: 20f83b30ed19f147cdeb50acce68f3ad268445e059076a7db98545eb4767554f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "482f78b9dbf67727abf8fb7c9a20ffc8937ba87efff08a857472d55422420ea2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-12T18:46:03Z",
    "title_canon_sha256": "9359856d18f8381f6f737035f7b813f0e9cc2a0e15445ea76fd4eba521166671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2924",
    "kind": "arxiv",
    "version": 1
  }
}