Pith Number

pith:6TEPG3Z3

pith:2014:6TEPG3Z35M2M3ZKMSYNIOK5Q6P

not attested not anchored not stored refs pending

The secondary periodic element $\beta_{p^2/p^2-1}$ and its applications

Jianguo Hong, Xiangjun Wang

arxiv:1402.6074 v2 · 2014-02-25 · 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{6TEPG3Z35M2M3ZKMSYNIOK5Q6P}

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	2026-05-18T02:48:56.390267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c8f36f3beb34cde54c961a872bb0f3c31432a1b0aa143d8d7ccfe25da6520d

Aliases

arxiv: 1402.6074 · arxiv_version: 1402.6074v2 · doi: 10.48550/arxiv.1402.6074 · pith_short_12: 6TEPG3Z35M2M · pith_short_16: 6TEPG3Z35M2M3ZKM · pith_short_8: 6TEPG3Z3

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/6TEPG3Z35M2M3ZKMSYNIOK5Q6P \
  | 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: f4c8f36f3beb34cde54c961a872bb0f3c31432a1b0aa143d8d7ccfe25da6520d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ed49050b9f31cbd003999f0e037cccc4482b8718041356096f86aee3863728",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-02-25T07:39:58Z",
    "title_canon_sha256": "be66e9c1ccbfdabfefb1949fc7f45cd61886b1b03edbe71c6494390d35f54773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6074",
    "kind": "arxiv",
    "version": 2
  }
}