Pith Number

pith:6OBT3F5C

pith:2026:6OBT3F5CBQ2JDPQ5EXTCYYS5MC

not attested not anchored not stored refs pending

Reduced characteristic number criteria for equivariant bordism of $T^k$- and $(\mathbb{Z}_2)^k$-manifolds with isolated fixed points

Leqi Yang, Runze Chen, Zhi L\"u

arxiv:2607.01889 v1 · 2026-07-02 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6OBT3F5CBQ2JDPQ5EXTCYYS5MC}

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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	2026-07-03T01:17:32.669967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3833d97a20c3491be1d25e62c625d608233f62463b707350dfbb6570fec438b

Aliases

arxiv: 2607.01889 · arxiv_version: 2607.01889v1 · doi: 10.48550/arxiv.2607.01889 · pith_short_12: 6OBT3F5CBQ2J · pith_short_16: 6OBT3F5CBQ2JDPQ5 · pith_short_8: 6OBT3F5C

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/6OBT3F5CBQ2JDPQ5EXTCYYS5MC \
  | 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: f3833d97a20c3491be1d25e62c625d608233f62463b707350dfbb6570fec438b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1db11968c80a2d0aa2153f005b88f9ae8eab068c527d1806a2924c5cf264ee5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-02T08:39:30Z",
    "title_canon_sha256": "fe3353bf3801fd4daec6f1c5ede8e2a1eb71b85b9ae98f014e7c92f356a79b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01889",
    "kind": "arxiv",
    "version": 1
  }
}