Pith Number

pith:HOTR2AJZ

pith:2012:HOTR2AJZB2EFUH5QBG4GRHXDXE

not attested not anchored not stored refs pending

Interacting vortex pairs in inviscid and viscous planar flows

Thierry Gallay

arxiv:1212.1578 v1 · 2012-12-07 · 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{HOTR2AJZB2EFUH5QBG4GRHXDXE}

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	2026-05-18T03:38:56.878816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ba71d01390e885a1fb009b8689ee3b925172871f3f278af5383cb68480eeb80

Aliases

arxiv: 1212.1578 · arxiv_version: 1212.1578v1 · doi: 10.48550/arxiv.1212.1578 · pith_short_12: HOTR2AJZB2EF · pith_short_16: HOTR2AJZB2EFUH5Q · pith_short_8: HOTR2AJZ

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/HOTR2AJZB2EFUH5QBG4GRHXDXE \
  | 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: 3ba71d01390e885a1fb009b8689ee3b925172871f3f278af5383cb68480eeb80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e170519532dacd81c23bca7e1f6c1016b621adc5079b4cd3132d5e9ade9f45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-07T10:39:59Z",
    "title_canon_sha256": "65cde388eddeae1df633175e2a1f80335918713c2e66560c652a444af360859f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1578",
    "kind": "arxiv",
    "version": 1
  }
}