Pith Number

pith:E5SYOAI7

pith:2017:E5SYOAI7DTOS3XRKUGXXCH7CZC

not attested not anchored not stored refs pending

Discrete versions of the Li-Yau gradient estimate

Dominik Dier, Moritz Kassmann, Rico Zacher

arxiv:1701.04807 v2 · 2017-01-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5SYOAI7DTOS3XRKUGXXCH7CZC}

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	2026-05-18T00:42:39.119572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

276587011f1cdd2dde2aa1af711fe2c8bd2c21266ac525360821f372ccb0bd9b

Aliases

arxiv: 1701.04807 · arxiv_version: 1701.04807v2 · doi: 10.48550/arxiv.1701.04807 · pith_short_12: E5SYOAI7DTOS · pith_short_16: E5SYOAI7DTOS3XRK · pith_short_8: E5SYOAI7

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/E5SYOAI7DTOS3XRKUGXXCH7CZC \
  | 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: 276587011f1cdd2dde2aa1af711fe2c8bd2c21266ac525360821f372ccb0bd9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "032b27d60b008e67bca13b57b70ae3b955847584dc904a1e7cac0ceab79881a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-17T18:43:00Z",
    "title_canon_sha256": "546de705ee4bb42cef279e588c0f2d344b3f14b9b81fa5475dbe13b005b8b34d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04807",
    "kind": "arxiv",
    "version": 2
  }
}