Pith Number

pith:KGRUEP6I

pith:2014:KGRUEP6ID44ZESS36T36AZD4HX

not attested not anchored not stored refs pending

The $E_8$-boundings of homology spheres and negative sphere classes in $E(1)$

Motoo Tange

arxiv:1408.5528 v1 · 2014-08-23 · 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{KGRUEP6ID44ZESS36T36AZD4HX}

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	2026-05-18T02:44:24.900466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a3423fc81f39924a5bf4f7e0647c3dc8743816858f1586c3f337892f72779a

Aliases

arxiv: 1408.5528 · arxiv_version: 1408.5528v1 · doi: 10.48550/arxiv.1408.5528 · pith_short_12: KGRUEP6ID44Z · pith_short_16: KGRUEP6ID44ZESS3 · pith_short_8: KGRUEP6I

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/KGRUEP6ID44ZESS36T36AZD4HX \
  | 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: 51a3423fc81f39924a5bf4f7e0647c3dc8743816858f1586c3f337892f72779a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "577aea55801f8754272914d5462e59e14d0bc7556331d6528f96e1fd33bc414c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-08-23T20:40:08Z",
    "title_canon_sha256": "4aaa500d6c7dc4db0c9992f26e3b86fa57395f0c1d92088d05c8f48f4008cce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5528",
    "kind": "arxiv",
    "version": 1
  }
}