Pith Number

pith:7J4PHXXK

pith:2013:7J4PHXXKRAYD5APMOOMXEKIKAX

not attested not anchored not stored refs pending

On the dynamics of a family of renormalization transformations

Fei Yang, Jinsong Zeng

arxiv:1312.1617 v1 · 2013-12-05 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7J4PHXXKRAYD5APMOOMXEKIKAX}

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	2026-05-18T03:05:26.715206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa78f3deea88303e81ec739972290a05e86b9d2fd0b76c675175734686e7cb3e

Aliases

arxiv: 1312.1617 · arxiv_version: 1312.1617v1 · doi: 10.48550/arxiv.1312.1617 · pith_short_12: 7J4PHXXKRAYD · pith_short_16: 7J4PHXXKRAYD5APM · pith_short_8: 7J4PHXXK

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/7J4PHXXKRAYD5APMOOMXEKIKAX \
  | 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: fa78f3deea88303e81ec739972290a05e86b9d2fd0b76c675175734686e7cb3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42312d6eca8d3efb1c8e3325136afc56b7c2c106a90e3e874a1b2b16859c80f8",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-05T17:03:34Z",
    "title_canon_sha256": "639c9cbe38672ca8f862869abe2c228450769a85e3a8f24675c23a08ccc3173d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1617",
    "kind": "arxiv",
    "version": 1
  }
}