Pith Number

pith:VUL2JZG2

pith:2025:VUL2JZG2SG4UBVVWSHNQXB446P

not attested not anchored not stored refs pending

Polymer Bianchi-I with polymer matter

Aleena Zulfiqar, Syed Moeez Hassan

arxiv:2509.24586 v2 · 2025-09-29 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUL2JZG2SG4UBVVWSHNQXB446P}

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	2026-07-15T01:21:46.962556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad17a4e4da91b940d6b691db0b879cf3e69aeb9102e963c79349668be00d19cf

Aliases

arxiv: 2509.24586 · arxiv_version: 2509.24586v2 · doi: 10.48550/arxiv.2509.24586 · pith_short_12: VUL2JZG2SG4U · pith_short_16: VUL2JZG2SG4UBVVW · pith_short_8: VUL2JZG2

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/VUL2JZG2SG4UBVVWSHNQXB446P \
  | 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: ad17a4e4da91b940d6b691db0b879cf3e69aeb9102e963c79349668be00d19cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be2dc87357735a5019e9c1a5a4c2ec89edda626e4ac94a5e89610b8361d6d1bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-09-29T10:49:34Z",
    "title_canon_sha256": "8be6876c5b16f21a41dca4e8bc8ada24f57e3ea1215e706853266af46f5e0c23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.24586",
    "kind": "arxiv",
    "version": 2
  }
}