Pith Number

pith:HSQENIV6

pith:2020:HSQENIV6HA7QR3FX3WEVYQD4HB

not attested not anchored not stored refs pending

Todd genus and $A_k$-genus of unitary $S^1$-manifolds

Jianbo Wang, Yuyu Wang, Zhiwang Yu

arxiv:2012.10908 v1 · 2020-12-20 · 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{HSQENIV6HA7QR3FX3WEVYQD4HB}

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	2026-07-05T07:11:49.650537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca046a2be383f08ecb7dd895c407c386137b05c44cdb5ab85d7d08f20581710

Aliases

arxiv: 2012.10908 · arxiv_version: 2012.10908v1 · doi: 10.48550/arxiv.2012.10908 · pith_short_12: HSQENIV6HA7Q · pith_short_16: HSQENIV6HA7QR3FX · pith_short_8: HSQENIV6

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/HSQENIV6HA7QR3FX3WEVYQD4HB \
  | 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: 3ca046a2be383f08ecb7dd895c407c386137b05c44cdb5ab85d7d08f20581710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4977d42801389b632c89c417a8d01454b93d56dc985db157034b66dff4746b20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-12-20T12:42:01Z",
    "title_canon_sha256": "9f82bd5684a255a096ea40077ba9b533dcef058da13805ec328853bbbeaa8b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.10908",
    "kind": "arxiv",
    "version": 1
  }
}