Pith Number

pith:7HUANSGZ

pith:2017:7HUANSGZE4G3C2XXHFPC2ARLPN

not attested not anchored not stored refs pending

An elementary proof for Poincare Duality with local coefficients

Fang Sun

arxiv:1709.00569 v1 · 2017-09-02 · 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{7HUANSGZE4G3C2XXHFPC2ARLPN}

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	2026-05-18T00:36:07.654512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9e806c8d9270db16af7395e2d022b7b458264e290c201f02c77cefeb34b3670

Aliases

arxiv: 1709.00569 · arxiv_version: 1709.00569v1 · doi: 10.48550/arxiv.1709.00569 · pith_short_12: 7HUANSGZE4G3 · pith_short_16: 7HUANSGZE4G3C2XX · pith_short_8: 7HUANSGZ

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/7HUANSGZE4G3C2XXHFPC2ARLPN \
  | 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: f9e806c8d9270db16af7395e2d022b7b458264e290c201f02c77cefeb34b3670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7601ffae374b6766f2e096700365060f4d00d12fa10b2400637a0d5190186fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-09-02T12:04:05Z",
    "title_canon_sha256": "c9aa29801122f788b9886fd3ea2db9bbe0eebf4a3b4e39f765fb7f9f855d44c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00569",
    "kind": "arxiv",
    "version": 1
  }
}