Pith Number

pith:5AS7G47N

pith:2015:5AS7G47NQRZQF52GDIPY5PWE7W

not attested not anchored not stored refs pending

Higher-order Alexander Invariants of Hypersurface Complements

Yun Su

arxiv:1510.03467 v1 · 2015-10-12 · 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{5AS7G47NQRZQF52GDIPY5PWE7W}

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	2026-05-18T01:30:17.124587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e825f373ed847302f7461a1f8ebec4fdb07bd5f4ecadfadb0045797f3950051b

Aliases

arxiv: 1510.03467 · arxiv_version: 1510.03467v1 · doi: 10.48550/arxiv.1510.03467 · pith_short_12: 5AS7G47NQRZQ · pith_short_16: 5AS7G47NQRZQF52G · pith_short_8: 5AS7G47N

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/5AS7G47NQRZQF52GDIPY5PWE7W \
  | 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: e825f373ed847302f7461a1f8ebec4fdb07bd5f4ecadfadb0045797f3950051b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4357790da5097a16ea42438dbe656b25b31528cfd75ec956b93b03633b6909cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-10-12T21:17:29Z",
    "title_canon_sha256": "18405b21829959350ae0a69ad634f4a1f1df5a435fa51275042ffb8362fe73dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03467",
    "kind": "arxiv",
    "version": 1
  }
}