Pith Number

pith:3AAVMJ6K

pith:2017:3AAVMJ6KPF3I2RZXDXXAUNEM2M

not attested not anchored not stored refs pending

Duality and nearby cycles over general bases

Qing Lu, Weizhe Zheng

arxiv:1712.10216 v7 · 2017-12-29 · 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{3AAVMJ6KPF3I2RZXDXXAUNEM2M}

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.

Cited by

1 paper in Pith

Characteristic Epsilon Cycles of $\ell$-adic Sheaves on Varieties

Receipt and verification

First computed	2026-07-05T00:26:55.455835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8015627ca79768d47371dee0a348cd30cc189c71441d1025c0bbf71fb891e3c

Aliases

arxiv: 1712.10216 · arxiv_version: 1712.10216v7 · doi: 10.48550/arxiv.1712.10216 · pith_short_12: 3AAVMJ6KPF3I · pith_short_16: 3AAVMJ6KPF3I2RZX · pith_short_8: 3AAVMJ6K

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/3AAVMJ6KPF3I2RZXDXXAUNEM2M \
  | 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: d8015627ca79768d47371dee0a348cd30cc189c71441d1025c0bbf71fb891e3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa72e7ee4c5d0d784982f1bfd006b701546d77e10892f063ccc155c379c14fb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-29T13:17:41Z",
    "title_canon_sha256": "3d992dbf9eb65c72a4a7cf9a9f80e80be36440fd1fb7ec9afbf804ec9d65ddf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10216",
    "kind": "arxiv",
    "version": 7
  }
}