Pith Number

pith:ZKHVGGA5

pith:2017:ZKHVGGA5VPEUZRUJN2YRK5R4U5

not attested not anchored not stored refs pending

On singular Sturm theorems

D. Aharonov, U. Elias

arxiv:1708.06168 v1 · 2017-08-21 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKHVGGA5VPEUZRUJN2YRK5R4U5}

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	2026-05-18T00:37:43.025054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca8f53181dabc94cc6896eb115763ca7783170c5ddcf6911ad97f8df5868d1b9

Aliases

arxiv: 1708.06168 · arxiv_version: 1708.06168v1 · doi: 10.48550/arxiv.1708.06168 · pith_short_12: ZKHVGGA5VPEU · pith_short_16: ZKHVGGA5VPEUZRUJ · pith_short_8: ZKHVGGA5

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/ZKHVGGA5VPEUZRUJN2YRK5R4U5 \
  | 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: ca8f53181dabc94cc6896eb115763ca7783170c5ddcf6911ad97f8df5868d1b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a9ababddeb1b60825459db8225d5a77764ad26cccf257974ecc4603706095a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-21T11:58:51Z",
    "title_canon_sha256": "e3c8e57dec324e20b371f0dd4773abd939481352c4527f5340f71119ebc7d366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06168",
    "kind": "arxiv",
    "version": 1
  }
}