Pith Number

pith:CZYAQ7LB

pith:2026:CZYAQ7LBLS5VKZ3T7UQY46TTAY

not attested not anchored not stored refs pending

Loss of positive definiteness is a symptom, not the cause, of high-Weissenberg-number breakdown

Feiyang Chu, Lanjin Lian, Yuan Yu

arxiv:2607.15334 v1 · 2026-07-16 · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZYAQ7LBLS5VKZ3T7UQY46TTAY}

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	2026-07-20T00:18:27.625053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1670087d615cbb556773fd218e7a730629339702cfb945dcaf458c6283434d87

Aliases

arxiv: 2607.15334 · arxiv_version: 2607.15334v1 · doi: 10.48550/arxiv.2607.15334 · pith_short_12: CZYAQ7LBLS5V · pith_short_16: CZYAQ7LBLS5VKZ3T · pith_short_8: CZYAQ7LB

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/CZYAQ7LBLS5VKZ3T7UQY46TTAY \
  | 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: 1670087d615cbb556773fd218e7a730629339702cfb945dcaf458c6283434d87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aca12c483224754f9f2b5e6190f4388137169b768056f35ce8de22e8e8030dd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-07-16T16:47:06Z",
    "title_canon_sha256": "f06d300f99916538ff4150590d9d81d6f09e9883feafb55e2b1ad15fb0f65aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15334",
    "kind": "arxiv",
    "version": 1
  }
}