Pith Number

pith:E7GDPBPZ

pith:2026:E7GDPBPZSWFI2CFNA6HCCGAAXW

not attested not anchored not stored refs pending

Quasimorphisms and Poincar\'e duality in dimension 3

Paula Heim, William Thomas

arxiv:2606.18034 v1 · 2026-06-16 · math.GR · 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{E7GDPBPZSWFI2CFNA6HCCGAAXW}

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	2026-06-19T16:10:46.469151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27cc3785f9958a8d08ad078e211800bdaa3ac4ff17605dc838c1a154be56185e

Aliases

arxiv: 2606.18034 · arxiv_version: 2606.18034v1 · doi: 10.48550/arxiv.2606.18034 · pith_short_12: E7GDPBPZSWFI · pith_short_16: E7GDPBPZSWFI2CFN · pith_short_8: E7GDPBPZ

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/E7GDPBPZSWFI2CFNA6HCCGAAXW \
  | 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: 27cc3785f9958a8d08ad078e211800bdaa3ac4ff17605dc838c1a154be56185e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e49336abf454335b9e9b41f2931fb5803b14afcbd4f3e62f42202589201b7b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-16T15:10:04Z",
    "title_canon_sha256": "1749e2d35b5d28bfb45aef6c185369739c8cf1c5b6805be103ad2a41ae7a41cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18034",
    "kind": "arxiv",
    "version": 1
  }
}