Pith Number

pith:6KFSGZU7

pith:2020:6KFSGZU77N7XKKUI6ZCBLLGCES

not attested not anchored not stored refs pending

Coarse Alexander duality for pairs and applications

Emily Stark, G. Christopher Hruska, Hung Cong Tran

arxiv:2011.00059 v3 · 2020-10-30 · math.GT · math.AT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KFSGZU77N7XKKUI6ZCBLLGCES}

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.

Cited by

1 paper in Pith

Signatures of human-like processing in Transformer forward passes

Receipt and verification

First computed	2026-07-05T11:55:57.962878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f28b23669ffb7f752a88f64415acc22488ad48887a14236079e5c7b0ae8edfa6

Aliases

arxiv: 2011.00059 · arxiv_version: 2011.00059v3 · doi: 10.48550/arxiv.2011.00059 · pith_short_12: 6KFSGZU77N7X · pith_short_16: 6KFSGZU77N7XKKUI · pith_short_8: 6KFSGZU7

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/6KFSGZU77N7XKKUI6ZCBLLGCES \
  | 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: f28b23669ffb7f752a88f64415acc22488ad48887a14236079e5c7b0ae8edfa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98aa1a9122ab089669bdf638a1086f38e08e005663b3b498949b0c7a177ba433",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-10-30T19:11:45Z",
    "title_canon_sha256": "23dfb8e7759c18136368f313e97496abe84c69705c0e9664e5c773ef4bc3152b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.00059",
    "kind": "arxiv",
    "version": 3
  }
}