Pith Number

pith:GCS3NL2E

pith:2016:GCS3NL2EUOPZSDVFCJZWJKLOZI

not attested not anchored not stored refs pending

Further counterexamples to the integral Hodge conjecture

Arnav Tripathy

arxiv:1601.06170 v1 · 2016-01-22 · math.AG · 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{GCS3NL2EUOPZSDVFCJZWJKLOZI}

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	2026-05-18T01:22:05.212775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30a5b6af44a39f990ea5127364a96eca3147b30829523116479b08f80113da9b

Aliases

arxiv: 1601.06170 · arxiv_version: 1601.06170v1 · doi: 10.48550/arxiv.1601.06170 · pith_short_12: GCS3NL2EUOPZ · pith_short_16: GCS3NL2EUOPZSDVF · pith_short_8: GCS3NL2E

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/GCS3NL2EUOPZSDVFCJZWJKLOZI \
  | 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: 30a5b6af44a39f990ea5127364a96eca3147b30829523116479b08f80113da9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e424a1982b214c68e44898026f8a80a9bef87b5b38f8880dd4e8c3dc62f6ef7a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-22T21:00:58Z",
    "title_canon_sha256": "5c0eca23ba0de72fc9e67057016304575a940aa2b9e6d614350ba8c7bed57ba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06170",
    "kind": "arxiv",
    "version": 1
  }
}