Pith Number

pith:VPFEETVV

pith:2018:VPFEETVVIG33I5M2AD7ZCJHT6J

not attested not anchored not stored refs pending

The point-interaction approximation for the fields generated by contrasted bubbles at arbitrary fixed frequencies

Anupam Pal Choudhury, Durga Prasad Challa, Habib Ammari, Mourad Sini

arxiv:1801.07921 v3 · 2018-01-24 · 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{VPFEETVVIG33I5M2AD7ZCJHT6J}

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	2026-05-17T23:43:23.887503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abca424eb541b7b4759a00ff9124f3f2701fe75e06fb9465556a429f5430adff

Aliases

arxiv: 1801.07921 · arxiv_version: 1801.07921v3 · doi: 10.48550/arxiv.1801.07921 · pith_short_12: VPFEETVVIG33 · pith_short_16: VPFEETVVIG33I5M2 · pith_short_8: VPFEETVV

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/VPFEETVVIG33I5M2AD7ZCJHT6J \
  | 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: abca424eb541b7b4759a00ff9124f3f2701fe75e06fb9465556a429f5430adff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "157d8ccaa8b97f271c3dd59daeb9129b0aa69dcbfebcc542331d0f0544fdcb75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-24T11:03:51Z",
    "title_canon_sha256": "f2b3df5a67bed03d9813a41c876c8eec378fb299ebc1b771bd8bfbb3805ccaff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07921",
    "kind": "arxiv",
    "version": 3
  }
}