Pith Number

pith:TPVBQVZJ

pith:2012:TPVBQVZJ5YCNJC3GADPVDVKX7V

not attested not anchored not stored refs pending

Approximation and equidistribution of phase shifts: spherical symmetry

Andrew Hassell, Jesse Gell-Redman, Kiril Datchev, Peter Humphries

arxiv:1211.4959 v2 · 2012-11-21 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPVBQVZJ5YCNJC3GADPVDVKX7V}

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	2026-05-18T02:26:32.093295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bea185729ee04d48b6600df51d557fd73d5d555e252ef010210cbae90402f6c

Aliases

arxiv: 1211.4959 · arxiv_version: 1211.4959v2 · doi: 10.48550/arxiv.1211.4959 · pith_short_12: TPVBQVZJ5YCN · pith_short_16: TPVBQVZJ5YCNJC3G · pith_short_8: TPVBQVZJ

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/TPVBQVZJ5YCNJC3GADPVDVKX7V \
  | 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: 9bea185729ee04d48b6600df51d557fd73d5d555e252ef010210cbae90402f6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c55c34260d800e1057a95cd7348bc09c5b1a09f26eff8c7cec11079a420bc0f1",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-21T08:37:46Z",
    "title_canon_sha256": "89daf330825a6b61de03b8305cceee2c6607f3ec199e63b2353d059424334b76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4959",
    "kind": "arxiv",
    "version": 2
  }
}