Pith Number

pith:BCJDEM6L

pith:2015:BCJDEM6LJFGYRTC6BOWEAF5DP4

not attested not anchored not stored refs pending

Stable P-symmetric closed characteristics on partially symmetric compact convex hypersurfaces

Duanzhi Zhang, Hui Liu

arxiv:1504.08060 v1 · 2015-04-30 · 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{BCJDEM6LJFGYRTC6BOWEAF5DP4}

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	2026-05-18T02:17:23.434361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08923233cb494d88cc5e0bac4017a37f2d31e44ac5ae3f2695a63ccd4efe4e69

Aliases

arxiv: 1504.08060 · arxiv_version: 1504.08060v1 · doi: 10.48550/arxiv.1504.08060 · pith_short_12: BCJDEM6LJFGY · pith_short_16: BCJDEM6LJFGYRTC6 · pith_short_8: BCJDEM6L

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/BCJDEM6LJFGYRTC6BOWEAF5DP4 \
  | 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: 08923233cb494d88cc5e0bac4017a37f2d31e44ac5ae3f2695a63ccd4efe4e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda7a8623d30fe92016c02647454615204e3db4ef3f673b6ff4b9c09c5994293",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-30T02:41:41Z",
    "title_canon_sha256": "0aac36a9ec137490d25a0631b32011eef95b01469b0b34ba30dcda27fb0f20ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08060",
    "kind": "arxiv",
    "version": 1
  }
}