Pith Number

pith:F4DLQJFB

pith:2017:F4DLQJFBIURQ5Y2R6EEZWHBP6G

not attested not anchored not stored refs pending

Sum-Product Type Estimates for Subsets of Finite Valuation Rings

Esen Aksoy Yazici

arxiv:1701.08101 v1 · 2017-01-27 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4DLQJFBIURQ5Y2R6EEZWHBP6G}

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	2026-05-18T00:51:58.830804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f06b824a145230ee351f1099b1c2ff19ddd9b4ff6e5d52a6725744bef0d69b6

Aliases

arxiv: 1701.08101 · arxiv_version: 1701.08101v1 · doi: 10.48550/arxiv.1701.08101 · pith_short_12: F4DLQJFBIURQ · pith_short_16: F4DLQJFBIURQ5Y2R · pith_short_8: F4DLQJFB

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/F4DLQJFBIURQ5Y2R6EEZWHBP6G \
  | 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: 2f06b824a145230ee351f1099b1c2ff19ddd9b4ff6e5d52a6725744bef0d69b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "830ce8a7537f5f0ccbab9604cbe61854b1dec96ffcb1f3fdd04e2b3cf58b3934",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-27T16:25:38Z",
    "title_canon_sha256": "a2475a272d6b22793c4717e6f452b88009adc1c0fa2c5aa2ccbc8f3077071bf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08101",
    "kind": "arxiv",
    "version": 1
  }
}