Pith Number

pith:DHZJDW6K

pith:2015:DHZJDW6KVUDYZNKCQIM4Q3NOEJ

not attested not anchored not stored refs pending

The vanishing conjecture for maps of Tor and derived splinters

Linquan Ma

arxiv:1509.04400 v2 · 2015-09-15 · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHZJDW6KVUDYZNKCQIM4Q3NOEJ}

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	2026-05-18T01:25:17.844740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19f291dbcaad078cb5428219c86dae225480659bab420fb2813ce5f0d711b2de

Aliases

arxiv: 1509.04400 · arxiv_version: 1509.04400v2 · doi: 10.48550/arxiv.1509.04400 · pith_short_12: DHZJDW6KVUDY · pith_short_16: DHZJDW6KVUDYZNKC · pith_short_8: DHZJDW6K

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/DHZJDW6KVUDYZNKCQIM4Q3NOEJ \
  | 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: 19f291dbcaad078cb5428219c86dae225480659bab420fb2813ce5f0d711b2de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5f03884f4188e13b83227ac986ff182d8bf333d00e093d0d81cb41ff331f66a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-09-15T05:00:25Z",
    "title_canon_sha256": "af91055af26231bf425e5d3383b4714bc0037d07359d2ea5887184e5881a1d04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04400",
    "kind": "arxiv",
    "version": 2
  }
}