Pith Number

pith:NPJMWD6U

pith:2014:NPJMWD6UE5DAJEHGSXAIYRFFWE

not attested not anchored not stored refs pending

Harnack Estimate for the Endangered Species Equation

Demetre Kazaras, Mark Cerenzia, Xiaodong Cao

arxiv:1406.7033 v1 · 2014-06-26 · 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{NPJMWD6UE5DAJEHGSXAIYRFFWE}

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	2026-05-18T01:37:47.498892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bd2cb0fd427460490e695c08c44a5b1269f83872b5bb52f9ee4d6d48bdf43c5

Aliases

arxiv: 1406.7033 · arxiv_version: 1406.7033v1 · doi: 10.48550/arxiv.1406.7033 · pith_short_12: NPJMWD6UE5DA · pith_short_16: NPJMWD6UE5DAJEHG · pith_short_8: NPJMWD6U

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/NPJMWD6UE5DAJEHGSXAIYRFFWE \
  | 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: 6bd2cb0fd427460490e695c08c44a5b1269f83872b5bb52f9ee4d6d48bdf43c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c5d4ed5b4dab0e0963d95dfe2de6e551d0df7037e67d32c6b062d022ee58b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-06-26T21:17:44Z",
    "title_canon_sha256": "14854d3808c705e05063fbb208244742979c4309617f2578162ae3d7f850f8b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7033",
    "kind": "arxiv",
    "version": 1
  }
}