Pith Number

pith:GCAAXSDP

pith:2014:GCAAXSDPRES4NWL4X6PX2NHAVD

not attested not anchored not stored refs pending

Equilibrium measures at temperature zero for H\'enon-like maps at the first bifurcation

Hiroki Takahasi

arxiv:1412.8012 v1 · 2014-12-27 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCAAXSDPRES4NWL4X6PX2NHAVD}

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	2026-05-18T01:19:44.717258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30800bc86f8925c6d97cbf9f7d34e0a8c3681c4ce2bb2eb693c03f931655ec99

Aliases

arxiv: 1412.8012 · arxiv_version: 1412.8012v1 · doi: 10.48550/arxiv.1412.8012 · pith_short_12: GCAAXSDPRES4 · pith_short_16: GCAAXSDPRES4NWL4 · pith_short_8: GCAAXSDP

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/GCAAXSDPRES4NWL4X6PX2NHAVD \
  | 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: 30800bc86f8925c6d97cbf9f7d34e0a8c3681c4ce2bb2eb693c03f931655ec99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4fffff12ad4ba1d961a1c560463ddd12dc3eafbc93b2d911c2b96378f78089a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-27T02:25:21Z",
    "title_canon_sha256": "b39cc114c623dda448bce1abe71df8e9a4d06b7ad3f42dbecbf94dfb5cacbd3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8012",
    "kind": "arxiv",
    "version": 1
  }
}