Pith Number

pith:IS56FTXH

pith:2026:IS56FTXH4GWSZZR33KM2OXVBUL

not attested not anchored not stored refs pending

The traveling wave solutions of the 1D hyperbolic Keller-Segel equations

William Kyle Barker, Xin Liu

arxiv:2608.12226 v1 · 2026-08-12 · 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{IS56FTXH4GWSZZR33KM2OXVBUL}

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	2026-08-13T01:30:33.377187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44bbe2cee7e1ad2ce63bda99a75ea1a2de65338a68190fcca4e6e3a92624d1a4

Aliases

arxiv: 2608.12226 · arxiv_version: 2608.12226v1 · doi: 10.48550/arxiv.2608.12226 · pith_short_12: IS56FTXH4GWS · pith_short_16: IS56FTXH4GWSZZR3 · pith_short_8: IS56FTXH

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/IS56FTXH4GWSZZR33KM2OXVBUL \
  | 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: 44bbe2cee7e1ad2ce63bda99a75ea1a2de65338a68190fcca4e6e3a92624d1a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6b8a57df8d3afdfbd2fe48edac096ffb56be85e73bc1f7bc1bc0ca282b43cb6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-12T16:23:32Z",
    "title_canon_sha256": "88a6c476fd852247e7ce2cb5fefbfbbfeeeb6862e0cf2b831d4de6f652b15ce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12226",
    "kind": "arxiv",
    "version": 1
  }
}