Pith Number

pith:S4A323IK

pith:2011:S4A323IKGCPZIXSWRMODOYM57D

not attested not anchored not stored refs pending

Potential scattering and the continuity of phase-shifts

Andrew Hassell, Jesse Gell-Redman

arxiv:1112.3413 v2 · 2011-12-15 · math.SP · 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{S4A323IKGCPZIXSWRMODOYM57D}

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	2026-05-18T02:26:11.043027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9701bd6d0a309f945e568b1c37619df8f1fe96baa4dc1716c9ce6bced6ba3360

Aliases

arxiv: 1112.3413 · arxiv_version: 1112.3413v2 · doi: 10.48550/arxiv.1112.3413 · pith_short_12: S4A323IKGCPZ · pith_short_16: S4A323IKGCPZIXSW · pith_short_8: S4A323IK

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/S4A323IKGCPZIXSWRMODOYM57D \
  | 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: 9701bd6d0a309f945e568b1c37619df8f1fe96baa4dc1716c9ce6bced6ba3360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fde598669008c2bf41c2e9a1a60908aff4c96d6612542e87891ad60861b5e53c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-12-15T02:52:08Z",
    "title_canon_sha256": "fbf9e385ad64f3e7f0cfd3e3e791044fe6eb0069f68c07e32661a61b3d7cdb7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3413",
    "kind": "arxiv",
    "version": 2
  }
}