Pith Number

pith:T5DKG7I6

pith:2001:T5DKG7I6VVGEBXMLU6FLUAD4JY

not attested not anchored not stored refs pending

On Symplectic and Multisymplectic Srtuctures and their Discrete Versions in Lagrangian Formalism

H.Y. Guo, K. Wu, Y.Q. Li

arxiv:hep-ph/0104064 v2 · 2001-04-06 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5DKG7I6VVGEBXMLU6FLUAD4JY}

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	2026-05-18T01:06:14.955363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f46a37d1ead4c40dd8ba78aba007c4e2416d243252ad4e36f7b445820768eee

Aliases

arxiv: hep-ph/0104064 · arxiv_version: hep-ph/0104064v2 · doi: 10.48550/arxiv.hep-ph/0104064 · pith_short_12: T5DKG7I6VVGE · pith_short_16: T5DKG7I6VVGEBXML · pith_short_8: T5DKG7I6

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/T5DKG7I6VVGEBXMLU6FLUAD4JY \
  | 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: 9f46a37d1ead4c40dd8ba78aba007c4e2416d243252ad4e36f7b445820768eee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cbc3179dea4b6a74c062990b907f977af150f6f79c366a52d343da69ea824c4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-04-06T09:23:10Z",
    "title_canon_sha256": "c39d573063d37a8f579f42a537ebd3f3af317b88aaf356850d57ce0b6f5cf07f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0104064",
    "kind": "arxiv",
    "version": 2
  }
}