Pith Number

pith:U7UQU45D

pith:2016:U7UQU45DDFNSPZ7RYNXZ2ETCHQ

not attested not anchored not stored refs pending

On the multivariate Fujiwara bound for exponential sums

Jens Forsg{\aa}rd

arxiv:1612.03738 v1 · 2016-12-12 · math.AG · math.CV · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7UQU45DDFNSPZ7RYNXZ2ETCHQ}

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	2026-05-18T00:55:18.447899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7e90a73a3195b27e7f1c36f9d12623c1180efa64e60028cc5e93e7f5e902737

Aliases

arxiv: 1612.03738 · arxiv_version: 1612.03738v1 · doi: 10.48550/arxiv.1612.03738 · pith_short_12: U7UQU45DDFNS · pith_short_16: U7UQU45DDFNSPZ7R · pith_short_8: U7UQU45D

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/U7UQU45DDFNSPZ7RYNXZ2ETCHQ \
  | 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: a7e90a73a3195b27e7f1c36f9d12623c1180efa64e60028cc5e93e7f5e902737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08e3492164d4d349fcfc32f3056767c3fd4616e3e8881cc296a60643f1c4ed87",
    "cross_cats_sorted": [
      "math.CV",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-12T15:18:25Z",
    "title_canon_sha256": "3f9dd47e431e3c231263c6abdc1749c2c5a800a4d67b619c6bd9abed0506509e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03738",
    "kind": "arxiv",
    "version": 1
  }
}