Pith Number

pith:DPDLH7MR

pith:2016:DPDLH7MR56WQ5SFPEWYECMXQPB

not attested not anchored not stored refs pending

Theta-stratifications, Theta-reductive stacks, and applications

Daniel Halpern-Leistner

arxiv:1608.04797 v1 · 2016-08-16 · 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{DPDLH7MR56WQ5SFPEWYECMXQPB}

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

Hecke operators on symplectic surfaces and $\chi$-independence

Receipt and verification

First computed	2026-05-18T01:08:33.515739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bc6b3fd91efad0ec8af25b04132f0785f60fe451bf9e7cccbd4767ae76d0e42

Aliases

arxiv: 1608.04797 · arxiv_version: 1608.04797v1 · doi: 10.48550/arxiv.1608.04797 · pith_short_12: DPDLH7MR56WQ · pith_short_16: DPDLH7MR56WQ5SFP · pith_short_8: DPDLH7MR

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/DPDLH7MR56WQ5SFPEWYECMXQPB \
  | 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: 1bc6b3fd91efad0ec8af25b04132f0785f60fe451bf9e7cccbd4767ae76d0e42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa6f2572974ab1130da1046d876fcfe39e072eb7d2fa76b45c63e9051fa4b3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-16T22:26:52Z",
    "title_canon_sha256": "2b7f362dc8a6b68cd487ec4cafdeec691dca9ac7e3322372797e479932043bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04797",
    "kind": "arxiv",
    "version": 1
  }
}