Pith Number

pith:FCZ3DBGI

pith:2021:FCZ3DBGI62HAYS675LEWYGW2D5

not attested not anchored not stored refs pending

Period-doubling bifurcation in spatiotemporal mode-locked lasers

Changxi Yang, Shuzheng Fan, Xiaoguang Zhang, Xiaosheng Xiao, Yihang Ding

arxiv:2101.00149 v1 · 2021-01-01 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCZ3DBGI62HAYS675LEWYGW2D5}

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	2026-07-05T02:04:15.925687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28b3b184c8f68e0c4bdfeac96c1ada1f68ef48c361f49f478b79e6a80e7d30d0

Aliases

arxiv: 2101.00149 · arxiv_version: 2101.00149v1 · doi: 10.48550/arxiv.2101.00149 · pith_short_12: FCZ3DBGI62HA · pith_short_16: FCZ3DBGI62HAYS67 · pith_short_8: FCZ3DBGI

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/FCZ3DBGI62HAYS675LEWYGW2D5 \
  | 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: 28b3b184c8f68e0c4bdfeac96c1ada1f68ef48c361f49f478b79e6a80e7d30d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6988ac1957b085217af10bc939a2e890dc2352c18e62e90cada41414b46381ce",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-01-01T03:15:50Z",
    "title_canon_sha256": "88ff4e9246448bb11a4340625107d664629b7552f4b9032199db72ec5f9830d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.00149",
    "kind": "arxiv",
    "version": 1
  }
}