Pith Number

pith:G7WBQXD3

pith:2017:G7WBQXD3B3HBG5AHUWPOWHJAD5

not attested not anchored not stored refs pending

Relative completed cohomologies and modular symbols

Binyong Sun, Dongwen Liu

arxiv:1709.05762 v3 · 2017-09-18 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7WBQXD3B3HBG5AHUWPOWHJAD5}

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

On the Blasius-Deligne conjecture for the standard $L$-functions of symplectic type for $\textrm{GL}_{2n}$

Receipt and verification

First computed	2026-07-05T10:23:48.458490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37ec185c7b0ece137407a59eeb1d201f49afca0a6779a228626735b01c15525f

Aliases

arxiv: 1709.05762 · arxiv_version: 1709.05762v3 · doi: 10.48550/arxiv.1709.05762 · pith_short_12: G7WBQXD3B3HB · pith_short_16: G7WBQXD3B3HBG5AH · pith_short_8: G7WBQXD3

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/G7WBQXD3B3HBG5AHUWPOWHJAD5 \
  | 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: 37ec185c7b0ece137407a59eeb1d201f49afca0a6779a228626735b01c15525f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eaef5ab1c200fdb9dcaa38bf362caaf3531732bc080d744318561f4a73dc693",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-18T03:32:57Z",
    "title_canon_sha256": "79f2b4be9131a4e632033b355a2552d9dbb08fd3c911ca01d08bfb4d05385d5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05762",
    "kind": "arxiv",
    "version": 3
  }
}