Pith Number

pith:VYCHEQ3M

pith:2015:VYCHEQ3MWQ65IEYSRZ6OZROLED

not attested not anchored not stored refs pending

Determining the twist in an optical fiber

Andrew A Lacey, Jiahua Tang, Rakesh

arxiv:1512.02631 v1 · 2015-12-08 · 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{VYCHEQ3MWQ65IEYSRZ6OZROLED}

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	2026-05-18T01:24:44.239711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae0472436cb43dd413128e7cecc5cb20cf1a7cf8c6d4668cf0951fd11ec7f3f3

Aliases

arxiv: 1512.02631 · arxiv_version: 1512.02631v1 · doi: 10.48550/arxiv.1512.02631 · pith_short_12: VYCHEQ3MWQ65 · pith_short_16: VYCHEQ3MWQ65IEYS · pith_short_8: VYCHEQ3M

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/VYCHEQ3MWQ65IEYSRZ6OZROLED \
  | 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: ae0472436cb43dd413128e7cecc5cb20cf1a7cf8c6d4668cf0951fd11ec7f3f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68d7e1e1ee4d63a7f7a9c25107af896147c0deb855d53bd8efcbfe05cdb98a05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-08T20:50:50Z",
    "title_canon_sha256": "acfec457bb786578d75a980abd5ec23a92694c3ef0e8ba72dd3feb90cc0ef211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02631",
    "kind": "arxiv",
    "version": 1
  }
}