Pith Number

pith:3TVXOB4K

pith:2012:3TVXOB4KU7DCX2GFMIO76ZZRXH

not attested not anchored not stored refs pending

Exponential Decay for dispersion managed solitons for general dispersion profiles

Dirk Hundertmark, William R. Green

arxiv:1212.4004 v3 · 2012-12-17 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TVXOB4KU7DCX2GFMIO76ZZRXH}

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	2026-05-18T03:14:17.432906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dceb77078aa7c62be8c5621dff6731b9fc27cc1247f5d754f5ce35477e5683ee

Aliases

arxiv: 1212.4004 · arxiv_version: 1212.4004v3 · doi: 10.48550/arxiv.1212.4004 · pith_short_12: 3TVXOB4KU7DC · pith_short_16: 3TVXOB4KU7DCX2GF · pith_short_8: 3TVXOB4K

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/3TVXOB4KU7DCX2GFMIO76ZZRXH \
  | 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: dceb77078aa7c62be8c5621dff6731b9fc27cc1247f5d754f5ce35477e5683ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2248df6d7a29aefba42532b3fa145c235f1bf1a3d1f113162e6e12890980b421",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-17T14:29:51Z",
    "title_canon_sha256": "352708d83ffe7617ebc8111132a58f9c0a71a34c6ea79ef538f6804c4533e0e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4004",
    "kind": "arxiv",
    "version": 3
  }
}