Pith Number

pith:JDOIPFLA

pith:2021:JDOIPFLAYDGJYNV3MWKZ6B7TYB

not attested not anchored not stored refs pending

Theoretical and Experimental Investigation into the Branched Flow Phenomenon of Light

Han Lin, Kefan Wang, Xiaoyue Ma

arxiv:2112.03176 v1 · 2021-12-06 · nlin.CD · 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{JDOIPFLAYDGJYNV3MWKZ6B7TYB}

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	2026-07-05T03:38:08.884615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48dc879560c0cc9c36bb65959f07f3c078feaf10ae02e0cd64a8c444113cefef

Aliases

arxiv: 2112.03176 · arxiv_version: 2112.03176v1 · doi: 10.48550/arxiv.2112.03176 · pith_short_12: JDOIPFLAYDGJ · pith_short_16: JDOIPFLAYDGJYNV3 · pith_short_8: JDOIPFLA

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/JDOIPFLAYDGJYNV3MWKZ6B7TYB \
  | 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: 48dc879560c0cc9c36bb65959f07f3c078feaf10ae02e0cd64a8c444113cefef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b5aa56a3232483d14ba4810d25eb9e6cbb21568fd8bf38c96efc4f091602ec8",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2021-12-06T17:09:42Z",
    "title_canon_sha256": "a8a84411b17f7d2ee52682b2055b8f0016eb014d6e98ae5eb7c94b99da2e67a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.03176",
    "kind": "arxiv",
    "version": 1
  }
}